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Characteristic Classes. (AM-76), Volume 76 / / John Milnor, James D. Stasheff
Characteristic Classes. (AM-76), Volume 76 / / John Milnor, James D. Stasheff
Autore Milnor John
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (339 pages) : illustrations
Disciplina 514/.7
Collana Annals of Mathematics Studies
Soggetto topico Characteristic classes
Soggetto non controllato Additive group
Axiom
Basis (linear algebra)
Boundary (topology)
Bundle map
CW complex
Canonical map
Cap product
Cartesian product
Characteristic class
Charles Ehresmann
Chern class
Classifying space
Coefficient
Cohomology ring
Cohomology
Compact space
Complex dimension
Complex manifold
Complex vector bundle
Complexification
Computation
Conformal geometry
Continuous function
Coordinate space
Cross product
De Rham cohomology
Diffeomorphism
Differentiable manifold
Differential form
Differential operator
Dimension (vector space)
Dimension
Direct sum
Directional derivative
Eilenberg–Steenrod axioms
Embedding
Equivalence class
Euler class
Euler number
Existence theorem
Existential quantification
Exterior (topology)
Fiber bundle
Fundamental class
Fundamental group
General linear group
Grassmannian
Gysin sequence
Hausdorff space
Homeomorphism
Homology (mathematics)
Homotopy
Identity element
Integer
Interior (topology)
Isomorphism class
J-homomorphism
K-theory
Leibniz integral rule
Levi-Civita connection
Limit of a sequence
Linear map
Metric space
Natural number
Natural topology
Neighbourhood (mathematics)
Normal bundle
Open set
Orthogonal complement
Orthogonal group
Orthonormal basis
Partition of unity
Permutation
Polynomial
Power series
Principal ideal domain
Projection (mathematics)
Representation ring
Riemannian manifold
Sequence
Singular homology
Smoothness
Special case
Steenrod algebra
Stiefel–Whitney class
Subgroup
Subset
Symmetric function
Tangent bundle
Tensor product
Theorem
Thom space
Topological space
Topology
Unit disk
Unit vector
Variable (mathematics)
Vector bundle
Vector space
ISBN 1-4008-8182-X
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Preface -- Contents -- §1. Smooth Manifolds -- §2. Vector Bundles -- §3. Constructing New Vector Bundles Out of Old -- §4. Stiefel-Whitney Classes -- §5. Grassmann Manifolds and Universal Bundles -- §6. A Cell Structure for Grassmann Manifolds -- §7. The Cohomology Ring H*(Gn; Z/2) -- §8. Existence of Stiefel-Whitney Classes -- §9. Oriented Bundles and the Euler Class -- §10. The Thom Isomorphism Theorem -- §11. Computations in a Smooth Manifold -- §12. Obstructions -- §13. Complex Vector Bundles and Complex Manifolds -- §14. Chern Classes -- §15. Pontrjagin Classes -- §16. Chern Numbers and Pontrjagin Numbers -- §17. The Oriented Cobordism Ring Ω* -- §18. Thom Spaces and Transversality -- §19. Multiplicative Sequences and the Signature Theorem -- §20. Combinatorial Pontrjagin Classes -- Epilogue -- Appendix A: Singular Homology and Cohomology -- Appendix B: Bernoulli Numbers -- Appendix C: Connections, Curvature, and Characteristic Classes -- Bibliography -- Index
Record Nr. UNINA-9910154754803321
Milnor John  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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Combinatorics of Train Tracks. (AM-125), Volume 125 / / R. C. Penner, John L. Harer
Combinatorics of Train Tracks. (AM-125), Volume 125 / / R. C. Penner, John L. Harer
Autore Penner R. C.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (233 pages) : illustrations
Disciplina 511/.6
Collana Annals of Mathematics Studies
Soggetto topico Geodesics (Mathematics)
CW complexes
Combinatorial analysis
Soggetto non controllato Ambient isotopy
Analytic function
Axiom
Brouwer fixed-point theorem
CW complex
Cantor set
Cardinality
Change of basis
Coefficient
Combinatorics
Compactification (mathematics)
Conjugacy class
Connected component (graph theory)
Connectivity (graph theory)
Coordinate system
Cotangent space
Covering space
Deformation theory
Dehn twist
Diffeomorphism
Differential topology
Disjoint sets
Disjoint union
Disk (mathematics)
Eigenvalues and eigenvectors
Embedding
Equation
Equivalence class (music)
Equivalence class
Equivalence relation
Euclidean space
Euler characteristic
Explicit formula
Explicit formulae (L-function)
Fiber bundle
Foliation
Fuchsian group
Geodesic curvature
Geometry
Harmonic function
Homeomorphism
Homotopy
Horocycle
Hyperbolic geometry
Hyperbolic motion
Hyperbolic space
Incidence matrix
Inequality (mathematics)
Infimum and supremum
Injective function
Intersection (set theory)
Intersection number (graph theory)
Intersection number
Interval (mathematics)
Invariance of domain
Invariant measure
Jordan curve theorem
Kähler manifold
Lexicographical order
Linear map
Linear subspace
Mapping class group
Mathematical induction
Monogon
Natural topology
Orientability
Pair of pants (mathematics)
Parallel curve
Parametrization
Parity (mathematics)
Projective space
Quadratic differential
Scientific notation
Sign (mathematics)
Special case
Spectral radius
Standard basis
Subsequence
Subset
Summation
Support (mathematics)
Symplectic geometry
Symplectomorphism
Tangent space
Tangent vector
Tangent
Teichmüller space
Theorem
Topological space
Topology
Total order
Train track (mathematics)
Transitive relation
Transpose
Transversality (mathematics)
Transverse measure
Uniformization theorem
Unit tangent bundle
Unit vector
Vector field
ISBN 1-4008-8245-1
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Preface -- Acknowledgements -- Chapter 1. The Basic Theor -- Chapter 2. Combinatorial Equivalence -- Chapter 3. The Structure of ML0 -- Epilogue -- Addendum. The Action of Mapping Classes on ML0 -- Bibliography
Record Nr. UNINA-9910154745603321
Penner R. C.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Introduction to Ramsey spaces [[electronic resource] /] / Stevo Todorcevic
Introduction to Ramsey spaces [[electronic resource] /] / Stevo Todorcevic
Autore Todorcevic Stevo
Edizione [Course Book]
Pubbl/distr/stampa Princeton, : Princeton University Press, 2010
Descrizione fisica 1 online resource (296 p.)
Disciplina 511/.5
Collana Annals of mathematics studies
Soggetto topico Ramsey theory
Algebraic spaces
Soggetto non controllato Analytic set
Axiom of choice
Baire category theorem
Baire space
Banach space
Bijection
Binary relation
Boolean prime ideal theorem
Borel equivalence relation
Borel measure
Borel set
C0
Cantor cube
Cantor set
Cantor space
Cardinality
Characteristic function (probability theory)
Characterization (mathematics)
Combinatorics
Compact space
Compactification (mathematics)
Complete metric space
Completely metrizable space
Constructible universe
Continuous function (set theory)
Continuous function
Corollary
Countable set
Counterexample
Decision problem
Dense set
Diagonalization
Dimension (vector space)
Dimension
Discrete space
Disjoint sets
Dual space
Embedding
Equation
Equivalence relation
Existential quantification
Family of sets
Forcing (mathematics)
Forcing (recursion theory)
Gap theorem
Geometry
Ideal (ring theory)
Infinite product
Lebesgue measure
Limit point
Lipschitz continuity
Mathematical induction
Mathematical problem
Mathematics
Metric space
Metrization theorem
Monotonic function
Natural number
Natural topology
Neighbourhood (mathematics)
Null set
Open set
Order type
Partial function
Partially ordered set
Peano axioms
Point at infinity
Pointwise
Polish space
Probability measure
Product measure
Product topology
Property of Baire
Ramsey theory
Ramsey's theorem
Right inverse
Scalar multiplication
Schauder basis
Semigroup
Sequence
Sequential space
Set (mathematics)
Set theory
Sperner family
Subsequence
Subset
Subspace topology
Support function
Symmetric difference
Theorem
Topological dynamics
Topological group
Topological space
Topology
Tree (data structure)
Unit interval
Unit sphere
Variable (mathematics)
Well-order
Zorn's lemma
ISBN 1-4008-3540-2
9786612645068
1-282-64506-4
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- Chapter 1. Ramsey Theory: Preliminaries -- Chapter 2. Semigroup Colorings -- Chapter 3. Trees and Products -- Chapter 4. Abstract Ramsey Theory -- Chapter 5. Topological Ramsey Theory -- Chapter 6. Spaces of Trees -- Chapter 7. Local Ramsey Theory -- Chapter 8. Infinite Products of Finite Sets -- Chapter 9. Parametrized Ramsey Theory -- Appendix -- Bibliography -- Subject Index -- Index of Notation
Record Nr. UNINA-9910791065103321
Todorcevic Stevo  
Princeton, : Princeton University Press, 2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Introduction to Ramsey spaces [[electronic resource] /] / Stevo Todorcevic
Introduction to Ramsey spaces [[electronic resource] /] / Stevo Todorcevic
Autore Todorcevic Stevo
Edizione [Course Book]
Pubbl/distr/stampa Princeton, : Princeton University Press, 2010
Descrizione fisica 1 online resource (296 p.)
Disciplina 511/.5
Collana Annals of mathematics studies
Soggetto topico Ramsey theory
Algebraic spaces
Soggetto non controllato Analytic set
Axiom of choice
Baire category theorem
Baire space
Banach space
Bijection
Binary relation
Boolean prime ideal theorem
Borel equivalence relation
Borel measure
Borel set
C0
Cantor cube
Cantor set
Cantor space
Cardinality
Characteristic function (probability theory)
Characterization (mathematics)
Combinatorics
Compact space
Compactification (mathematics)
Complete metric space
Completely metrizable space
Constructible universe
Continuous function (set theory)
Continuous function
Corollary
Countable set
Counterexample
Decision problem
Dense set
Diagonalization
Dimension (vector space)
Dimension
Discrete space
Disjoint sets
Dual space
Embedding
Equation
Equivalence relation
Existential quantification
Family of sets
Forcing (mathematics)
Forcing (recursion theory)
Gap theorem
Geometry
Ideal (ring theory)
Infinite product
Lebesgue measure
Limit point
Lipschitz continuity
Mathematical induction
Mathematical problem
Mathematics
Metric space
Metrization theorem
Monotonic function
Natural number
Natural topology
Neighbourhood (mathematics)
Null set
Open set
Order type
Partial function
Partially ordered set
Peano axioms
Point at infinity
Pointwise
Polish space
Probability measure
Product measure
Product topology
Property of Baire
Ramsey theory
Ramsey's theorem
Right inverse
Scalar multiplication
Schauder basis
Semigroup
Sequence
Sequential space
Set (mathematics)
Set theory
Sperner family
Subsequence
Subset
Subspace topology
Support function
Symmetric difference
Theorem
Topological dynamics
Topological group
Topological space
Topology
Tree (data structure)
Unit interval
Unit sphere
Variable (mathematics)
Well-order
Zorn's lemma
ISBN 1-4008-3540-2
9786612645068
1-282-64506-4
Classificazione SI 830
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Introduction -- Chapter 1. Ramsey Theory: Preliminaries -- Chapter 2. Semigroup Colorings -- Chapter 3. Trees and Products -- Chapter 4. Abstract Ramsey Theory -- Chapter 5. Topological Ramsey Theory -- Chapter 6. Spaces of Trees -- Chapter 7. Local Ramsey Theory -- Chapter 8. Infinite Products of Finite Sets -- Chapter 9. Parametrized Ramsey Theory -- Appendix -- Bibliography -- Subject Index -- Index of Notation
Record Nr. UNINA-9910812113303321
Todorcevic Stevo  
Princeton, : Princeton University Press, 2010
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Profinite Groups, Arithmetic, and Geometry. (AM-67), Volume 67 / / Stephen S. Shatz
Profinite Groups, Arithmetic, and Geometry. (AM-67), Volume 67 / / Stephen S. Shatz
Autore Shatz Stephen S.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (265 pages)
Disciplina 512/.2
Collana Annals of Mathematics Studies
Soggetto topico Homology theory
Finite groups
Algebraic number theory
Soggetto non controllato Abelian group
Alexander Grothendieck
Algebraic closure
Algebraic extension
Algebraic geometry
Algebraic number field
Brauer group
Category of abelian groups
Category of sets
Characterization (mathematics)
Class field theory
Cohomological dimension
Cohomology
Cokernel
Commutative diagram
Composition series
Computation
Connected component (graph theory)
Coset
Cup product
Dedekind domain
Degeneracy (mathematics)
Diagram (category theory)
Dimension (vector space)
Diophantine geometry
Discrete group
Equivalence of categories
Exact sequence
Existential quantification
Explicit formula
Exponential function
Family of sets
Field extension
Finite group
Fundamental class
G-module
Galois cohomology
Galois extension
Galois group
Galois module
Galois theory
General topology
Geometry
Grothendieck topology
Group cohomology
Group extension
Group scheme
Group theory
Hilbert symbol
Hopf algebra
Ideal (ring theory)
Inequality (mathematics)
Injective sheaf
Inner automorphism
Inverse limit
Kummer theory
Lie algebra
Linear independence
Local field
Mathematical induction
Mathematician
Mathematics
Module (mathematics)
Morphism
Natural topology
Neighbourhood (mathematics)
Normal extension
Normal subgroup
Number theory
P-adic number
P-group
Polynomial
Pontryagin duality
Power series
Prime number
Principal ideal
Profinite group
Quadratic reciprocity
Quotient group
Ring of integers
Sheaf (mathematics)
Special case
Subcategory
Subgroup
Supernatural number
Sylow theorems
Tangent space
Theorem
Topological group
Topological property
Topological ring
Topological space
Topology
Torsion group
Torsion subgroup
Transcendence degree
Triviality (mathematics)
Unique factorization domain
Variable (mathematics)
Vector space
ISBN 1-4008-8185-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- CHAPTER I. PROFINITE GROUPS -- CHAPTER II. COHOMOLOGY OF PROFINITE GROUPS -- CHAPTER III. COHOMOLOGICAL DIMENSION -- CHAPTER IV. GALOIS COHOMOLOGY AND FIELD THEORY -- CHAPTER V. LOCAL CLASS FIELD THEORY -- CHAPTER VI. DUALITY -- BIBLIOGRAPHY
Record Nr. UNINA-9910154751103321
Shatz Stephen S.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 / / R. D. Anderson
Symposium on Infinite Dimensional Topology. (AM-69), Volume 69 / / R. D. Anderson
Autore Anderson R. D.
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (312 pages)
Disciplina 514
Collana Annals of Mathematics Studies
Soggetto topico Topology
Functional analysis
Differential topology
Soggetto non controllato Anderson's theorem
Annihilator (ring theory)
Automorphism
Baire measure
Banach algebra
Banach manifold
Banach space
Bounded operator
Cartesian product
Characterization (mathematics)
Cohomology
Compact space
Complement (set theory)
Complete metric space
Connected space
Continuous function
Convex set
Coset
Critical point (mathematics)
Diagram (category theory)
Differentiable manifold
Differential topology
Dimension (vector space)
Dimension
Dimensional analysis
Dual space
Duality (mathematics)
Endomorphism
Equivalence class
Euclidean space
Existential quantification
Explicit formulae (L-function)
Exponential map (Riemannian geometry)
Fixed-point theorem
Fréchet derivative
Fréchet space
Fuchsian group
Function space
Fundamental class
Haar measure
Hessian matrix
Hilbert space
Homeomorphism
Homology (mathematics)
Homotopy group
Homotopy
Inclusion map
Infimum and supremum
Lebesgue space
Lefschetz fixed-point theorem
Limit point
Linear space (geometry)
Locally convex topological vector space
Loop space
Mathematical optimization
Measure (mathematics)
Metric space
Module (mathematics)
Natural topology
Neighbourhood (mathematics)
Normal space
Normed vector space
Open set
Ordinal number
Paracompact space
Partition of unity
Path space
Product topology
Quantifier (logic)
Quotient space (linear algebra)
Quotient space (topology)
Radon measure
Reflexive space
Representation theorem
Riemannian manifold
Schauder fixed point theorem
Sign (mathematics)
Simply connected space
Space form
Special case
Stiefel manifold
Strong operator topology
Subcategory
Submanifold
Subset
Tangent space
Teichmüller space
Theorem
Topological space
Topological vector space
Topology
Transfinite induction
Transfinite
Transversal (geometry)
Transversality theorem
Tychonoff cube
Union (set theory)
Unit sphere
Weak topology
Weakly compact
ISBN 1-4008-8140-4
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- TOPOLOGICAL EQUIVALENCE OF NON-SEPARABLE REFLEXIVE BANACH SPACES / Bessaga, C. -- ON TOPOLOGICAL CLASSIFICATION OF NON-SEPARABLE BANACH SPACES / Bessaga, C. / Kadec, M. I. -- ON HOMOTOPY PROPERTIES OF COMPACT SUBSETS OF THE HILBERT SPACE / Borsuk, Karel -- SOME THIN SETS IN FRÉCHET SPACES / Corson, H. H. -- A REMARK ON BANACH ANALYTIC SPACES / Douady, A. -- FIBRING SPACES OF MAPS / Eells, James -- AN APPROXIMATE MORSE-SARD THEOREM / Eells, James / McAlpin, John -- MORSE THEORY FOR CLOSED CURVES / Eliasson, Halldor I. -- COVERING PROPERTIES OF CONVEX SETS AND FIXED POINT THEOREMS IN TOPOLOGICAL VECTOR SPACES / Fan, Ky -- ON THE COHOMOLOGY THEORY IN LINEAR NORMED SPACES / Geba, Kazimierz / Granas, Andrzej -- ANALYSE DE LA TECHNIQUE DE NASH-MOSER / Glaeser, G. -- GENERALIZING THE HOPF-LEFSCHETZ FIXED POINT THEOREM FOR NON-COMPACT ANR-S / Granas, Andrzej -- SOME QUESTIONS IN THE DIMENSION THEORY OF INFINITE DIMENSIONAL SPACES / Henderson, David W. -- ON THE CONTINUITY OF BEST APPROXIMATION OPERATORS / Holmes, R. B. -- SOME SELF-DUAL PROPERTIES OF NORMED LINEAR SPACES / James, Robert C. -- ASYMPTOTIC FIXED POINT THEORY / Jones, G. Stephen -- ON THE RELATIONSHIP OF LOCAL TO GLOBAL FIXED-POINT INDEXES / Knill, Ronald J. -- C1-EQUIVALENCE OF FUNCTIONS NEAR ISOLATED CRITICAL POINTS / Kuiper, Nicolaas H. -- FIXED POINT INDEX AND LEFSCHETZ NUMBER / Leray, Jean -- WEAKLY COMPACT SETS - THEIR TOPOLOGICAL PROPERTIES AND THE BANACH SPACES THEY GENERATE / Lindenstrauss, Joram -- ON CONTINUITY AND APPROXIMATION QUESTIONS CONCERNING CRITICAL MORSE GROUPS IN HILBERT SPACE / Rothe, E. H. -- ON HOMEOMORPHISMS OF CERTAIN INFINITE DIMENSIONAL SPACES / Wong, Raymond Y. T.
Record Nr. UNINA-9910154743103321
Anderson R. D.  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui