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Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 / / R. James Milgram, Ib Madsen
Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92), Volume 92 / / R. James Milgram, Ib Madsen
Autore Madsen Ib
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (296 pages) : illustrations
Disciplina 514/.223
Collana Annals of Mathematics Studies
Soggetto topico Manifolds (Mathematics)
Classifying spaces
Surgery (Topology)
Cobordism theory
Soggetto non controllato Bijection
Calculation
Characteristic class
Classification theorem
Classifying space
Closed manifold
Cobordism
Coefficient
Cohomology
Commutative diagram
Commutative property
Complex projective space
Connected sum
Corollary
Cup product
Diagram (category theory)
Differentiable manifold
Disjoint union
Disk (mathematics)
Effective method
Eilenberg–Moore spectral sequence
Elaboration
Equivalence class
Exact sequence
Exterior algebra
Fiber bundle
Fibration
Function composition
H-space
Homeomorphism
Homomorphism
Homotopy fiber
Homotopy group
Homotopy
Hopf algebra
Iterative method
Loop space
Manifold
Massey product
N-sphere
Normal bundle
Obstruction theory
Pairing
Permutation
Piecewise linear manifold
Piecewise linear
Polynomial
Prime number
Projective space
Sequence
Simply connected space
Special case
Spin structure
Steenrod algebra
Subset
Summation
Tensor product
Theorem
Topological group
Topological manifold
Topology
Total order
ISBN 1-4008-8147-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- CONTENTS -- INTRODUCTION -- CHAPTER 1. CLASSIFYING SPACES AND COBORDISM -- CHAPTER 2. THE SURGERY CLASSIFICATION OF MANIFOLDS -- CHAPTER 3. THE SPACES SG AND BSG -- CHAPTER 4. THE HOMOTOPY STRUCTURE OF G/PL AND G/TOP -- CHAPTER 5. THE HOMOTOPY STRUCTURE OF MSPL[½] AND MSTOP[½] -- CHAPTER 6 . INFINITE LOOP SPACES AND THEIR HOMOLOGY OPERATIONS -- CHAPTER 7. THE 2-LOCAL STRUCTURE OF B(G/TOP) -- CHAPTER 8 . THE TORSION FREE STRUCTURE OF THE ORIENTED COBORDISM RINGS -- CHAPTER 9. THE TORSION FREE COHOMOLOGY OF G/TOP AND G/PL -- CHAPTER 10. THE TORSION FREE COHOMOLOGY OF BTOP AND BPL -- CHAPTER 11. INTEGRALITY THEOREMS -- CHAPTER 12. THE SMOOTH SURGERY CLASSES AND H*(BTOP; ℤ/2) -- CHAPTER 13. THE BOCKSTEIN SPECTRAL SEQUENCE FOR BTOP -- CHAPTER 14. THE TYPES OF TORSION GENERATORS -- APPENDIX. THE PROOFS OF 13.12, 13.13, AND 13.15 -- BIBLIOGRAPHY -- INDEX -- Backmatter
Record Nr. UNINA-9910154749003321
Madsen Ib  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128), Volume 128 / / Douglas C. Ravenel
Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128), Volume 128 / / Douglas C. Ravenel
Autore Ravenel Douglas C.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (225 pages)
Disciplina 514/.24
Collana Annals of Mathematics Studies
Soggetto topico Homotopy theory
Soggetto non controllato Abelian category
Abelian group
Adams spectral sequence
Additive category
Affine space
Algebra homomorphism
Algebraic closure
Algebraic structure
Algebraic topology (object)
Algebraic topology
Algebraic variety
Algebraically closed field
Atiyah–Hirzebruch spectral sequence
Automorphism
Boolean algebra (structure)
CW complex
Canonical map
Cantor set
Category of topological spaces
Category theory
Classification theorem
Classifying space
Cohomology operation
Cohomology
Cokernel
Commutative algebra
Commutative ring
Complex projective space
Complex vector bundle
Computation
Conjecture
Conjugacy class
Continuous function
Contractible space
Coproduct
Differentiable manifold
Disjoint union
Division algebra
Equation
Explicit formulae (L-function)
Functor
G-module
Groupoid
Homology (mathematics)
Homomorphism
Homotopy category
Homotopy group
Homotopy
Hopf algebra
Hurewicz theorem
Inclusion map
Infinite product
Integer
Inverse limit
Irreducible representation
Isomorphism class
K-theory
Loop space
Mapping cone (homological algebra)
Mathematical induction
Modular representation theory
Module (mathematics)
Monomorphism
Moore space
Morava K-theory
Morphism
N-sphere
Noetherian ring
Noetherian
Noncommutative ring
Number theory
P-adic number
Piecewise linear manifold
Polynomial ring
Polynomial
Power series
Prime number
Principal ideal domain
Profinite group
Reduced homology
Ring (mathematics)
Ring homomorphism
Ring spectrum
Simplicial complex
Simply connected space
Smash product
Special case
Spectral sequence
Steenrod algebra
Sub"ient
Subalgebra
Subcategory
Subring
Symmetric group
Tensor product
Theorem
Topological space
Topology
Vector bundle
Zariski topology
ISBN 1-4008-8248-6
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Introduction -- Chapter 1. The main theorems -- Chapter 2. Homotopy groups and the chromatic filtration -- Chapter 3. MU-theory and formal group laws -- Chapter 4. Morava's orbit picture and Morava stabilizer groups -- Chapter 5. The thick subcategory theorem -- Chapter 6. The periodicity theorem -- Chapter 7. Bousfield localization and equivalence -- Chapter 8. The proofs of the localization, smash product and chromatic convergence theorems -- Chapter 9. The proof of the nilpotence theorem -- Appendix A. Some tools from homotopy theory -- Appendix B. Complex bordism and BP-theory -- Appendix C. Some idempotents associated with the symmetric group -- Bibliography -- Index
Record Nr. UNINA-9910154751603321
Ravenel Douglas C.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen
Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen
Autore McMullen Curtis T.
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , 1996
Descrizione fisica 1 online resource (264 p.)
Disciplina 514/.3
Collana Annals of Mathematics Studies
Soggetto topico Three-manifolds (Topology)
Differentiable dynamical systems
Soggetto non controllato Algebraic topology
Analytic continuation
Automorphism
Beltrami equation
Bifurcation theory
Boundary (topology)
Cantor set
Circular symmetry
Combinatorics
Compact space
Complex conjugate
Complex manifold
Complex number
Complex plane
Conformal geometry
Conformal map
Conjugacy class
Convex hull
Covering space
Deformation theory
Degeneracy (mathematics)
Dimension (vector space)
Disk (mathematics)
Dynamical system
Eigenvalues and eigenvectors
Factorization
Fiber bundle
Fuchsian group
Fundamental domain
Fundamental group
Fundamental solution
G-module
Geodesic
Geometry
Harmonic analysis
Hausdorff dimension
Homeomorphism
Homotopy
Hyperbolic 3-manifold
Hyperbolic geometry
Hyperbolic manifold
Hyperbolic space
Hypersurface
Infimum and supremum
Injective function
Intersection (set theory)
Invariant subspace
Isometry
Julia set
Kleinian group
Laplace's equation
Lebesgue measure
Lie algebra
Limit point
Limit set
Linear map
Mandelbrot set
Manifold
Mapping class group
Measure (mathematics)
Moduli (physics)
Moduli space
Modulus of continuity
Möbius transformation
N-sphere
Newton's method
Permutation
Point at infinity
Polynomial
Quadratic function
Quasi-isometry
Quasiconformal mapping
Quasisymmetric function
Quotient space (topology)
Radon–Nikodym theorem
Renormalization
Representation of a Lie group
Representation theory
Riemann sphere
Riemann surface
Riemannian manifold
Schwarz lemma
Simply connected space
Special case
Submanifold
Subsequence
Support (mathematics)
Tangent space
Teichmüller space
Theorem
Topology of uniform convergence
Topology
Trace (linear algebra)
Transversal (geometry)
Transversality (mathematics)
Triangle inequality
Unit disk
Unit sphere
Upper and lower bounds
Vector field
ISBN 0-691-01154-0
1-4008-6517-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- 1 Introduction -- 2 Rigidity of hyperbolic manifolds -- 3 Three-manifolds which fiber over the circle -- 4 Quadratic maps and renormalization -- 5 Towers -- 6 Rigidity of towers -- 7 Fixed points of renormalization -- 8 Asymptotic structure in the Julia set -- 9 Geometric limits in dynamics -- 10 Conclusion -- Appendix A. Quasiconformal maps and flows -- Appendix B Visual extension -- Bibliography -- Index
Record Nr. UNINA-9910786510603321
McMullen Curtis T.  
Princeton, New Jersey : , : Princeton University Press, , 1996
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen
Renormalization and 3-manifolds which fiber over the circle / / by Curtis T. McMullen
Autore McMullen Curtis T.
Pubbl/distr/stampa Princeton, New Jersey : , : Princeton University Press, , 1996
Descrizione fisica 1 online resource (264 p.)
Disciplina 514/.3
Collana Annals of Mathematics Studies
Soggetto topico Three-manifolds (Topology)
Differentiable dynamical systems
Soggetto non controllato Algebraic topology
Analytic continuation
Automorphism
Beltrami equation
Bifurcation theory
Boundary (topology)
Cantor set
Circular symmetry
Combinatorics
Compact space
Complex conjugate
Complex manifold
Complex number
Complex plane
Conformal geometry
Conformal map
Conjugacy class
Convex hull
Covering space
Deformation theory
Degeneracy (mathematics)
Dimension (vector space)
Disk (mathematics)
Dynamical system
Eigenvalues and eigenvectors
Factorization
Fiber bundle
Fuchsian group
Fundamental domain
Fundamental group
Fundamental solution
G-module
Geodesic
Geometry
Harmonic analysis
Hausdorff dimension
Homeomorphism
Homotopy
Hyperbolic 3-manifold
Hyperbolic geometry
Hyperbolic manifold
Hyperbolic space
Hypersurface
Infimum and supremum
Injective function
Intersection (set theory)
Invariant subspace
Isometry
Julia set
Kleinian group
Laplace's equation
Lebesgue measure
Lie algebra
Limit point
Limit set
Linear map
Mandelbrot set
Manifold
Mapping class group
Measure (mathematics)
Moduli (physics)
Moduli space
Modulus of continuity
Möbius transformation
N-sphere
Newton's method
Permutation
Point at infinity
Polynomial
Quadratic function
Quasi-isometry
Quasiconformal mapping
Quasisymmetric function
Quotient space (topology)
Radon–Nikodym theorem
Renormalization
Representation of a Lie group
Representation theory
Riemann sphere
Riemann surface
Riemannian manifold
Schwarz lemma
Simply connected space
Special case
Submanifold
Subsequence
Support (mathematics)
Tangent space
Teichmüller space
Theorem
Topology of uniform convergence
Topology
Trace (linear algebra)
Transversal (geometry)
Transversality (mathematics)
Triangle inequality
Unit disk
Unit sphere
Upper and lower bounds
Vector field
ISBN 0-691-01154-0
1-4008-6517-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Front matter -- Contents -- 1 Introduction -- 2 Rigidity of hyperbolic manifolds -- 3 Three-manifolds which fiber over the circle -- 4 Quadratic maps and renormalization -- 5 Towers -- 6 Rigidity of towers -- 7 Fixed points of renormalization -- 8 Asymptotic structure in the Julia set -- 9 Geometric limits in dynamics -- 10 Conclusion -- Appendix A. Quasiconformal maps and flows -- Appendix B Visual extension -- Bibliography -- Index
Record Nr. UNINA-9910816804803321
McMullen Curtis T.  
Princeton, New Jersey : , : Princeton University Press, , 1996
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Seminar on Transformation Groups. (AM-46), Volume 46 / / Armand Borel
Seminar on Transformation Groups. (AM-46), Volume 46 / / Armand Borel
Autore Borel Armand
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (261 pages) : illustrations
Disciplina 512.86
Collana Annals of Mathematics Studies
Soggetto topico Algebraic topology
Transformation groups
Soggetto non controllato Abelian group
Addition
Algebraic topology
Analytic function
Armand Borel
Big O notation
Bijection
Chain complex
Circle group
Codimension
Coefficient
Cohomology ring
Cohomology
Commutative diagram
Complex number
Conjugacy class
Connected component (graph theory)
Connected space
Continuous function
Corollary
Counterexample
Cup product
Cyclic group
Diffeomorphism
Differentiable function
Dimension (vector space)
Dimension function
Dimension
Direct product
Direct sum
Embedding
Equivariant map
Euclidean space
Exact sequence
Exponential function
Fiber bundle
Field of fractions
Finite group
Finitely generated module
Functor
Group action
H-space
Hausdorff space
Homeomorphism
Homogeneous space
Homological algebra
Homology (mathematics)
Homology sphere
Homomorphism
Ideal (ring theory)
Identity component
Inner automorphism
Invariant subspace
Lie algebra
Lie group
Linear combination
Linearity
Locally compact space
Manifold
Mathematical induction
Maximal torus
Metatheorem
Metric space
Module (mathematics)
Monotonic function
N-sphere
Neighbourhood (mathematics)
Open set
Orientability
P-group
Paracompact space
Partially ordered set
Polynomial
Presheaf (category theory)
Prime ideal
Projective space
Quotient space (topology)
Real variable
Riemannian manifold
Scientific notation
Sheaf (mathematics)
Simply connected space
Solvable group
Special case
Spectral sequence
Subgroup
Subset
Support (mathematics)
Sylow theorems
Tangent vector
Theorem
Topological group
Topological space
Torsion subgroup
Transpose
Unique factorization domain
Universal bundle
Universal coefficient theorem
Vector space
Weyl group
ISBN 1-4008-8267-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- TABLE OP CONTENTS -- INTRODUCTION -- CHAPTER I: COHOMOLOGY MANIFOLDS / Borel, A. -- CHAPTER II: HOMOLOGY AND DUALITY IN GENERALIZED MANIFOLDS / Borel, A. -- CHAPTER III: PERIODIC MAPS VIA SMITH THEORY / Floyd, E. E. -- CHAPTER IV: THE ACTION OF Zp OR T1 : GLOBAL THEOREMS / Borel, A. -- CHAPTER V: THE ACTION OF Zp T1 : LOCAL THEOREMS / Borel, A. -- CHAPTER VI: ISOTROPY SUBGROUPS OP TORAL GROUPS / Floyd, E. E. -- CHAPTER VII: FINITENESS OP NUMBER OF ORBIT TYPES / Bredon, G. E. -- CHAPTER VIII: SLICES AND EQUIVARIANT IMBEDDINGS / Palais, R. S. -- CHAPTER IX: ORBITS OF HIGHEST DIMENSION / Montgomery, Deane -- CHAPTER X: THE SPECTRAL SEQUENCE OF A BIFILTERED MODULE, / Borel, A. -- CHAPTER XI: THE SPECTRAL SEQUENCE OF FARY / Borel, A. -- CHAPTER XII: FIXED POINT THEOREMS FOR ELEMENTARY COMMUTATIVE GROUPS I / Borel, A. -- CHAPTER XIII: FIXED POINT THEOREMS FOR ELEMENTARY COMMUTATIVE GROUPS II / Borel, A. -- CHAPTER XIV: ONE OR W O CLASSES OF ORBITS / Borel, A. -- CHAPTER XV: FIXED POINT SETS AND ORBITS OF COMPLEMENTARY DIMENSION / Bredon, G. E. -- CHAPTER XVI: REMARKS ON THE SPECTRAL SEQUENCE OF A MAP / Borel, A. -- Backmatter
Record Nr. UNINA-9910154746603321
Borel Armand  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Singular Points of Complex Hypersurfaces. (AM-61), Volume 61 / / John Milnor
Singular Points of Complex Hypersurfaces. (AM-61), Volume 61 / / John Milnor
Autore Milnor John
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (137 pages) : illustrations
Disciplina 516.35
Collana Annals of Mathematics Studies
Soggetto topico Geometry, Algebraic
Soggetto non controllato 3-sphere
Addition
Alexander polynomial
Algebraic curve
Algebraic equation
Algebraic geometry
Analytic manifold
Apply
Approximation
Binary icosahedral group
Boundary (topology)
Characteristic polynomial
Codimension
Coefficient
Commutator subgroup
Commutator
Compact group
Complex analysis
Complex number
Complex projective plane
Conjecture
Contradiction
Coordinate space
Coordinate system
Derivative
Differentiable manifold
Dimension
Directional derivative
Euclidean space
Euler number
Exact sequence
Existential quantification
Exotic sphere
Fiber bundle
Fibration
Field of fractions
Finite group
Finite set
Finitely generated group
Formal power series
Free abelian group
Free group
Fundamental group
Geometry
Hermitian matrix
Hessian matrix
Homology (mathematics)
Homology sphere
Homotopy sphere
Homotopy
Hopf fibration
Hypersurface
Icosahedron
Implicit function theorem
Integer
Integral domain
Inverse function theorem
Knot group
Knot theory
Line segment
Linear combination
Linear map
Manifold
Minor (linear algebra)
Morse theory
N-sphere
Neighbourhood (mathematics)
Normal (geometry)
Normal subgroup
Open set
Orientability
Parametrization
Polynomial
Prime ideal
Principal ideal
Projective space
Real number
Regular icosahedron
Retract
Riemannian manifold
Second derivative
Sign (mathematics)
Simply connected space
Smoothness
Special case
Submanifold
Subset
Surjective function
Tangent space
Theorem
Topological manifold
Topology
Transcendence degree
Tubular neighborhood
Unit interval
Unit sphere
Unit vector
Variable (mathematics)
Vector field
Vector space
ISBN 1-4008-8181-1
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- §1. INTRODUCTION -- §2. ELEMENTARY FACTS ABOUT REAL OR COMPLEX ALGEBRAIC SETS -- §3. THE CURVE SELECTION LEMMA -- §4. THE FIBRATION THEOREM -- §5. THE TOPOLOGY OF THE FIBERAND OF K -- §6. THE CASE OF AN ISOLATED CRITICAL POINT -- §7. THE MIDDLE BETTI NUMBER OF THE FIBER -- §8. IS K A TOPOLOGICAL SPHERE ? -- §9. BRIESKORN VARIETIES AND WEIGHTED HOMOGENEOUS POLYNOMIALS -- § 10. THE CLASSICAL CASE: CURVES IN C2 -- §11. A FIBRATION THEOREM FOR REAL SINGULARITIES -- APPENDIX A. WHITNEY'S FINITENESS THEOREM FOR ALGEBRAIC SETS -- APPENDIX B. THE MULTIPLICITY OF AN ISOLATED SOLUTION OF ANALYTIC EQUATIONS -- BIBLIOGRAPHY
Record Nr. UNINA-9910154743603321
Milnor John  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 / / David Eisenbud, Walter D. Neumann
Three-Dimensional Link Theory and Invariants of Plane Curve Singularities. (AM-110), Volume 110 / / David Eisenbud, Walter D. Neumann
Autore Eisenbud David
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (184 pages) : illustration
Disciplina 514.2
Collana Annals of Mathematics Studies
Soggetto topico Link theory
Invariants
Curves, Plane
Singularities (Mathematics)
Soggetto non controllato 3-sphere
Alexander Grothendieck
Alexander polynomial
Algebraic curve
Algebraic equation
Algebraic geometry
Algebraic surface
Algorithm
Ambient space
Analytic function
Approximation
Big O notation
Call graph
Cartesian coordinate system
Characteristic polynomial
Closed-form expression
Cohomology
Computation
Conjecture
Connected sum
Contradiction
Coprime integers
Corollary
Curve
Cyclic group
Determinant
Diagram (category theory)
Diffeomorphism
Dimension
Disjoint union
Eigenvalues and eigenvectors
Equation
Equivalence class
Euler number
Existential quantification
Exterior (topology)
Fiber bundle
Fibration
Foliation
Fundamental group
Geometry
Graph (discrete mathematics)
Ground field
Homeomorphism
Homology sphere
Identity matrix
Integer matrix
Intersection form (4-manifold)
Isolated point
Isolated singularity
Jordan normal form
Knot theory
Mathematical induction
Monodromy matrix
Monodromy
N-sphere
Natural transformation
Newton polygon
Newton's method
Normal (geometry)
Notation
Pairwise
Parametrization
Plane curve
Polynomial
Power series
Projective plane
Puiseux series
Quantity
Rational function
Resolution of singularities
Riemann sphere
Riemann surface
Root of unity
Scientific notation
Seifert surface
Set (mathematics)
Sign (mathematics)
Solid torus
Special case
Stereographic projection
Submanifold
Summation
Theorem
Three-dimensional space (mathematics)
Topology
Torus knot
Torus
Tubular neighborhood
Unit circle
Unit vector
Unknot
Variable (mathematics)
ISBN 1-4008-8192-7
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Abstract -- Three-Dimensional Link Theory and Invariants of Plane Curve Singularities -- Introduction -- Review -- Preview -- Chapter I: Foundations -- Appendix to Chapter I: Algebraic Links -- Chapter II: Classification -- Chapter III: Invariants -- Chapter IV: Examples -- Chapter V: Relation to Plumbing -- References -- Backmatter
Record Nr. UNINA-9910154742903321
Eisenbud David  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Topology Seminar Wisconsin, 1965. (AM-60), Volume 60 / / R. H. Bing, Ralph J. Bean
Topology Seminar Wisconsin, 1965. (AM-60), Volume 60 / / R. H. Bing, Ralph J. Bean
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (261 pages) : illustrations
Disciplina 513.83
Collana Annals of Mathematics Studies
Soggetto topico Topology
Soggetto non controllato Abstract algebra
Branch point
Cantor set
Cartesian coordinate system
Cartesian product
Characteristic class
Characterization (mathematics)
Cohomology
Commutator subgroup
Compactification (mathematics)
Complete metric space
Conjecture
Connected space
Continuous function (set theory)
Continuum hypothesis
Countable set
Cube
Cyclic group
Degeneracy (mathematics)
Dehn's lemma
Diagram (category theory)
Dimension theory (algebra)
Dimension
Discrete group
Disk (mathematics)
Embedding
Epimorphism
Equilateral triangle
Equivalence class
Equivalence relation
Euclidean space
Existential quantification
Fiber bundle
First-countable space
Fixed-point property
Function (mathematics)
Fundamental group
Graph (discrete mathematics)
Graph of a function
Grassmannian
H-cobordism
Hausdorff distance
Homeomorphism
Homotopy group
Homotopy
Hypercube
Hyperplane
Inclusion map
Inner automorphism
Intersection (set theory)
Interval (mathematics)
Inverse limit
Jordan curve theorem
K-cell (mathematics)
Knot theory
Lexicographical order
Limit ordinal
Limit point
Line (geometry)
Linear extension
Loop theorem
Mathematical induction
Mean value theorem
Metric space
Metrization theorem
Module (mathematics)
Moore space
N-connected
N-sphere
Natural number
Neighbourhood (mathematics)
Non-Euclidean geometry
Normal subgroup
Open set
Order topology
Orthogonal group
P-adic number
Poincaré conjecture
Polyhedron
Projection (linear algebra)
Projection (mathematics)
Projective line
Rectangle
Scientific notation
Semi-locally simply connected
Sign (mathematics)
Simply connected space
Special case
Sphere theorem (3-manifolds)
Submanifold
Subset
Summation
Tangent space
Theorem
Topological graph
Topological space
Two-dimensional space
Ultrafilter
Unit interval
Upper half-plane
ISBN 1-4008-8207-9
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- CONTENTS -- PREFACE -- CHAPTER I: 3 -MANIFOLDS -- MONOTONE DECOMPOSITIONS OF E3 / Armentrout, Steve -- EQUIVALENT DECOMPOSITIONS OF E3 / Armentrout, Steve / Lininger, Lloyd L. / Meyer, Donald V. -- ANOTHER DECOMPOSITION OP E3 INTO POINTS AND INTERVALS / McAuley, Louis F. -- CRUMPLED CUBES / Lininger, L. -- SEWINGS OF CRUMPLED CUBES WHICH DO NOT YIELD S3 / Martin, Joseph -- CANONICAL NEIGHBORHOODS IN THREE-MANIFOLDS / McMillan, D. R. -- BOUNDARY LINKS / Smythe, N. -- SURFACES IN E3 / Burgess, C. E. -- ADDITIONAL QUESTIONS ON 3-MANIFOLDS -- CHAPTER II: THE POINCARÉ CONJECTURE -- HOW NOT TO PROVE THE POINCARÉ CONJECTURE / Stallings, John -- MAPPING A 3 -SPHERE ONTO A HOMOTOPY 3 -SPHERE / Bing, R. H. -- CONCERNING FAKE CUBES / Connor, A. C. -- CHAPTER III -- ON CERTAIN FIRST COUNTABLE SPACES / Heath, R. W. -- REMARKS ON THE NORMAL MOORE SPACE METRIZATION PROBLEM / Jones, P. Burton -- TWO CONJECTURES IN POINT SET THEORY / Younglove, J. N. -- ALMOST CONTINUOUS FUNCTIONS AND FUNCTIONS OF BAIRE CLASS 1 / Thomas, E. S. -- CHAINABLE CONTINUA / Fugate, J. B. -- THE EXISTENCE OP A COMPLETE METRIC FOR A SPECIAL MAPPING SPACE AND SOME CONSEQUENCES / McAuley, Louis F. -- FINITE DIMENSIONAL SUBSETS OF INFINITE DIMENSIONAL SPACES / Henderson, David W. -- TYPES OF ULTRAFILTERS / Rudin, Mary Ellen -- ADDITIONAL QUESTIONS ON ABSTRACT SPACES -- CHAPTER IV: N-MANIFOLDS -- TAMING POLYHEDRA IN THE TRIVIAL RANGE / Bryant, John L. -- SOME NICE EMBEDDINGS IN THE TRIVIAL RANGE / Dancis, Jerome -- APPROXIMATIONS AND ISOTOPIES IN THE TRIVIAL RANGE / Dancis, Jerome -- ON A SPHERICAL EMBEDDINGS OF 2 -SPHERES IN THE 4-SPHERE / Giffen, Charles H. -- GEOMETRIC CHARACTERIZATION OP DIFFERENTIABLE MANIFOLDS IN EUCLIDEAN SPACE / Gluck, Herman -- WHITEHEAD TORSION AND h-COBORDISM / Szczarba, R. H. -- ADDITIONAL QUESTIONS ON N-MANIFOLDS -- COMPLETELY REGULAR MAPPINGS, FIBER SPACES, THE WEAK BUNDLE PROPERTIES, AND THE GENERALIZED SLICING STRUCTURE PROPERTIES / McAuley, Louis F. -- FIBER SPACES AND n-REGULARITY / McAuley, L. F. / Tulley, P. A. -- FIBER SPACES WIT H TOTALLY PATHWISE DISCONNECTED FIBERS / Ungar, Gerald S. -- SOME QUESTIONS IN THE THEORY OP NORMAL FIBER SPACES FOR TOPOLOGICAL MANIFOLDS / Fadell, E.
Record Nr. UNINA-9910154742403321
Princeton, NJ : , : Princeton University Press, , [2016]
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