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Lectures on algebraic and differential topology : delivered at the 2. ELAM / R. Bott, S. Gitler, I. M. James
Lectures on algebraic and differential topology : delivered at the 2. ELAM / R. Bott, S. Gitler, I. M. James
Autore Bott, Raoul <1923-2005>
Pubbl/distr/stampa Berlin, : Springer, 1972
Descrizione fisica 174 p. ; 24 cm
Altri autori (Persone) Gitler, Samuel
Soggetto topico 00B15 - Collections of articles of miscellaneous specific interest [MSC 2020]
55-XX - Algebraic topology [MSC 2020]
57-XX - Manifolds and cell complexes [MSC 2020]
Soggetto non controllato Characteristic class
Differential topology
Foliations
Topology
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN00255545
Bott, Raoul <1923-2005>  
Berlin, : Springer, 1972
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Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 / / Gerd Faltings
Lectures on the Arithmetic Riemann-Roch Theorem. (AM-127), Volume 127 / / Gerd Faltings
Autore Faltings Gerd
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (113 pages)
Disciplina 516.3/5
Altri autori (Persone) ZhangShouwu
Collana Annals of Mathematics Studies
Soggetto topico Geometry, Algebraic
Riemann-Roch theorems
Soggetto non controllato Addition
Adjoint
Alexander Grothendieck
Algebraic geometry
Analytic torsion
Arakelov theory
Asymptote
Asymptotic expansion
Asymptotic formula
Big O notation
Cartesian coordinate system
Characteristic class
Chern class
Chow group
Closed immersion
Codimension
Coherent sheaf
Cohomology
Combination
Commutator
Computation
Covariant derivative
Curvature
Derivative
Determinant
Diagonal
Differentiable manifold
Differential form
Dimension (vector space)
Divisor
Domain of a function
Dual basis
E6 (mathematics)
Eigenvalues and eigenvectors
Embedding
Endomorphism
Exact sequence
Exponential function
Generic point
Heat kernel
Injective function
Intersection theory
K-group
Levi-Civita connection
Line bundle
Linear algebra
Local coordinates
Mathematical induction
Morphism
Natural number
Neighbourhood (mathematics)
Parameter
Projective space
Pullback (category theory)
Pullback (differential geometry)
Pullback
Riemannian manifold
Riemann–Roch theorem
Self-adjoint operator
Smoothness
Sobolev space
Stochastic calculus
Summation
Supertrace
Theorem
Transition function
Upper half-plane
Vector bundle
Volume form
ISBN 1-4008-8247-8
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- TABLE OF CONTENTS -- INTRODUCTION -- LIST OF SYMBOLS -- LECTURE 1. CLASSICAL RIEMANN-ROCH THEOREM -- LECTURE 2. CHERN CLASSES OF ARITHMETIC VECTOR BUNDLES -- LECTURE 3. LAPLACIANS AND HEAT KERNELS -- LECTURE 4. THE LOCAL INDEX THEOREM FOR DIRAC OPERATORS -- LECTURE 5. NUMBER OPERATORS AND DIRECT IMAGES -- LECTURE 6. ARITHMETIC RIEMANN-ROCH THEOREM -- LECTURE 7. THE THEOREM OF BISMUT-VASSEROT -- REFERENCES
Record Nr. UNINA-9910154744103321
Faltings Gerd  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
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Prospects in Mathematics. (AM-70), Volume 70 / / Friedrich Hirzebruch, Lars Hörmander, I. M. Singer, Jean-Pierre Serre, John Milnor
Prospects in Mathematics. (AM-70), Volume 70 / / Friedrich Hirzebruch, Lars Hörmander, I. M. Singer, Jean-Pierre Serre, John Milnor
Autore Hirzebruch Friedrich
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (197 pages)
Disciplina 510
Collana Annals of Mathematics Studies
Soggetto topico Mathematics
Soggetto non controllato A priori estimate
Addition
Additive group
Affine space
Algebraic geometry
Algebraic group
Atiyah–Singer index theorem
Bernoulli number
Boundary value problem
Bounded operator
C*-algebra
Canonical transformation
Cauchy problem
Characteristic class
Clifford algebra
Coefficient
Cohomology
Commutative property
Commutative ring
Complex manifold
Complex number
Complex vector bundle
Dedekind sum
Degenerate bilinear form
Diagram (category theory)
Diffeomorphism
Differentiable manifold
Differential operator
Dimension (vector space)
Ellipse
Elliptic operator
Equation
Euler characteristic
Euler number
Existence theorem
Exotic sphere
Finite difference
Finite group
Fourier integral operator
Fourier transform
Fourier
Fredholm operator
Hardy space
Hilbert space
Holomorphic vector bundle
Homogeneous coordinates
Homomorphism
Homotopy
Hyperbolic partial differential equation
Identity component
Integer
Integral transform
Isomorphism class
John Milnor
K-theory
Lebesgue measure
Line bundle
Local ring
Mathematics
Maximal ideal
Modular form
Module (mathematics)
Monoid
Normal bundle
Number theory
Open set
Parametrix
Parity (mathematics)
Partial differential equation
Piecewise linear manifold
Poisson bracket
Polynomial ring
Polynomial
Prime number
Principal part
Projective space
Pseudo-differential operator
Quadratic form
Rational variety
Real number
Reciprocity law
Resolution of singularities
Riemann–Roch theorem
Shift operator
Simply connected space
Special case
Square-integrable function
Subalgebra
Submanifold
Support (mathematics)
Surjective function
Symmetric bilinear form
Symplectic vector space
Tangent space
Theorem
Topology
Variable (mathematics)
Vector bundle
Vector space
Winding number
ISBN 1-4008-8169-2
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- PREFACE -- CONTENTS -- THE SIGNATURE THEOREM: REMINISCENCES AND RECREATION / Hirzebruch, F. -- THE CALCULUS OF FOURIER INTEGRAL OPERATORS / Hormander, Lars -- SYMMETRIC INNER PRODUCTS IN CHARACTERISTIC 2 / Milnor, John -- COHOMOLOGIE DES GROUPES DISCRETS / Serre, Jean-Pierre -- FUTURE EXTENSIONS OF INDEX THEORY AND ELLIPTIC OPERATORS / Singer, I. M.
Record Nr. UNINA-9910154751003321
Hirzebruch Friedrich  
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
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Prospects in Topology (AM-138), Volume 138 : Proceedings of a Conference in Honor of William Browder. (AM-138) / / Frank Quinn
Prospects in Topology (AM-138), Volume 138 : Proceedings of a Conference in Honor of William Browder. (AM-138) / / Frank Quinn
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (357 pages) : illustrations
Disciplina 514
Collana Annals of Mathematics Studies
Soggetto topico Topology
Soggetto non controllato Adjunction (field theory)
Algebraic cycle
Algebraic topology
Analytic function
Automorphism
Base change
Basis (linear algebra)
Borel conjecture
Characteristic class
Circle group
Classifying space
Cobordism
Codimension
Cohomology ring
Cohomology
Combinatorial group theory
Commutative diagram
Commutative property
Compactification (mathematics)
Coxeter group
Cyclic group
Cyclic homology
Diagram (category theory)
Diffeomorphism
Differentiable manifold
Differential topology
Dimension (vector space)
Dirac operator
Discrete valuation ring
Divisor (algebraic geometry)
Elliptic operator
Equivariant K-theory
Equivariant cohomology
Equivariant map
Exterior (topology)
Exterior algebra
Fiber bundle
Fibration
Fundamental group
Gauss map
Geometrization conjecture
Group algebra
H-cobordism
Homeomorphism
Homotopy fiber
Homotopy group
Homotopy
Hopf algebra
Identity matrix
Inclusion map
Intersection form (4-manifold)
Isomorphism class
J-homomorphism
Knot theory
L-theory
Lens space
Lie algebra
Lie group
Linear algebra
Mapping cone (homological algebra)
Mapping cone (topology)
Marriage theorem
Metric space
Moduli space
Motivic cohomology
Neighbourhood (mathematics)
Operator norm
Pushout (category theory)
Quasi-isometry
Quotient space (topology)
Real projective space
Regularization (mathematics)
Representation theory
Riemann surface
Riemannian manifold
Set (mathematics)
Sheaf (mathematics)
Sign (mathematics)
Simplicial complex
Stable homotopy theory
Subgroup
Submanifold
Submersion (mathematics)
Subset
Support (mathematics)
Sylow theorems
Tangent space
Theorem
Topological K-theory
Topological group
Topological manifold
Topological space
Topology
Torsion sheaf
Transversality (mathematics)
Unification (computer science)
Vector bundle
Whitehead torsion
Zariski topology
Zorn's lemma
ISBN 1-4008-8258-3
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- Contents -- Foreword -- Program of the Conference -- Mathematical descendants of William Browder -- The Mod 2 Cohomology Rings of Rank 3 Simple Groups are Cohen-Macaulay / Adem, Alejandro / Milgram, R. James -- Algebraic Geometric Invariants for Homotopy Actions / Assadi, Amir H. -- Algebraic K-Theory of Local Number Fields: The Unramified Case / Bokstedt, M. / Madsen, I. -- The Mapping Cone and Cylinder of a Stratified Map / Cappell, Sylvain E. / Shaneson, Julius L. -- Replacement of Fixed Sets and of their Normal Representations in Transformation Groups of Manifolds / Cappell, Sylvain / Weinberger, Shmuel -- Finite K (π, 1)s for Artin Groups / Charney, Ruth / Davis, Michael W. -- Double Point Manifolds of Immersions of Spheres in Euclidean Space / Eccles, Peter J. -- Controlled Linear Algebra / Freedman, Michael H. / Wang, Zhenghan -- Non-Linear Similarity Revisited / Hambleton, Ian / Pedersen, Erik K. -- On the Vietoris-Rips complexes and a Cohomology Theory for metric spaces / Hausmann, Jean-Claude -- Every Proper Smooth Action of a Lie Group is Equivalent to a Real Analytic Action: A Contribution to Hilbert's Fifth Problem / Illman, Sören -- Formal Deformations of Equivariant Genera, Fixed Point Formula and Universal Symmetry Blocks / Katz, Gabriel -- Stable Prime Decompositions of Four-Manifolds / Kreck, Matthias / Luck, Wolfgang / Teichner, Peter -- Smooth Correspondences / Morava, Jack -- Simply Connected 6-Dimensional Manifolds with Little Symmetry and Algebras with Small Tangent Space / Puppe, Volker -- Speculations on Gromov Convergence of Stratified Sets, and Riemannian Volume Collapse / Quinn, Frank -- Bordism of Automorphisms of Manifolds. From the Algebraic L-Theory Point of View -- Exterior d, the Local Degree, and Smoothability / Sullivan, Dennis -- Contributors
Record Nr. UNINA-9910154749503321
Princeton, NJ : , : Princeton University Press, , [2016]
Materiale a stampa
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Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 / / Richard S. Palais
Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57 / / Richard S. Palais
Pubbl/distr/stampa Princeton, NJ : , : Princeton University Press, , [2016]
Descrizione fisica 1 online resource (379 pages)
Disciplina 513.83
Collana Annals of Mathematics Studies
Soggetto topico Atiyah-Singer index theorem
Differential topology
Homology theory
Soggetto non controllato Addition
Adjoint
Algebraic topology
Algebraic variety
Almost complex manifold
Arf invariant
Asymptotic expansion
Atiyah–Singer index theorem
Automorphism
Axiom
Banach space
Big O notation
Boundary value problem
Bounded operator
Characteristic class
Chern class
Cohomology
Cokernel
Compact operator
Complex vector bundle
Computation
Connected component (graph theory)
Coordinate system
Corollary
Cotangent bundle
Differentiable function
Differentiable manifold
Differential operator
Dimension (vector space)
Dimension
Disjoint union
Division by zero
Elliptic operator
Elliptic partial differential equation
Equivalence class
Euclidean space
Euler class
Exact sequence
Existential quantification
Fiber bundle
Formal power series
Fourier transform
Fredholm operator
Functional analysis
Gelfand
Grothendieck group
H-cobordism
Hilbert space
Hodge theory
Homogeneous polynomial
Homomorphism
Homotopy
Indeterminate (variable)
Injective function
Integer
Isomorphism class
Jet bundle
K-theory
L-theory
Linear map
Manifold
Michael Atiyah
Natural transformation
Normal bundle
Orientability
Pairing
Partial differential equation
Polynomial ring
Polynomial
Principal bundle
Projection (mathematics)
Riemann–Roch theorem
Ring (mathematics)
Robert M. Solovay
Sign convention
Singular integral
Sobolev inequality
Spanning tree
Special case
Subgroup
Submanifold
Subring
Suggestion
Summation
Surjective function
Symmetric bilinear form
Symmetric function
Tangent bundle
Tangent space
Tensor product
Theorem
Todd class
Topological vector space
Uniqueness theorem
Vector bundle
Vector space
ISBN 1-4008-8204-4
Classificazione SK 350
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Nota di contenuto Frontmatter -- CONTENTS -- PREFACE / Palais, Richard S. -- CHAPTER I. STATEMENT OF THE THEOREM OUTLINE OF THE PROOF / Borel, A. -- CHAPTER II. REVIEW OF K-THEORY / Solovay, Robert -- CHAPTER III. THE TOPOLOGICAL INDEX OF AN OPERATOR ASSOCIATED TO A G-STRUCTURE / Solovay, Robert -- CHAPTER IV. DIFFERENTIAL OPERATORS ON VECTOR BUNDLES / Palais, Richard S. -- CHAPTER V. ANALYTICAL INDICES OF SOME CONCRETE OPERATORS / Solovay, Robert M. -- CHAPTER VI. REVIEW OF FUNCTIONAL ANALYSIS / Palais, Richard S. -- CHAPTER VII. FREDHDIM OPERATORS / Palais, Richard S. -- CHAPTER VIII. CHAINS OP HILBERTIAN SPACES / Palais, Richard S. -- CHAPTER IX. THE DISCRETE SOBOLEV CHAIN OF A VECTOR BUNDLE / Palais, Richard S. -- CHAPTER X. THE CONTINUOUS SOBOLEV CHAIN OF A VECTOR BUNDLE / Palais, Richard S. -- CHAPTER XI. THE SEELEY ALGEBRA / Palais, Richard S. -- CHAPTER XII. HOMOTOPY INVARIANCE OF THE INDEX / Palaie, Richard S. -- CHAPTER XIII. WHITNEY SUMS / Palais, Richard S. -- CHAPTER XIV. TENSOR PRODUCTS / Palais, Richard S. -- CHAPTER XV. DEFINITION OF ia AND it ON K(M) / Solovay, Robert M. -- CHAPTER XVI. CONSTRUCTION OF Intk / Palais, R. S. / Seeley, R. T. -- CHAPTER XVII. COBORDISM INVARIANCE OP THE ANALYTICAL INDEX / Palais, R. S. / Seeley, R. T. -- CHAPTER XVIII. BORDISM GROUPS OF BUNDLES / Floyd, E. E. -- CHAPTER XIX. THE INDEX THEOREM: APPLICATIONS / Solovay, Robert M. -- APPENDIX I. THE INDEX THEOREM FOR MANIFOLDS WITH BOUNDARY / Atiyah, M. F. -- APPENDIX II. NON-STABLE CHARACTERISTIC CLASSES AND THE TOPOLOGICAL INDEX OP CLASSICAL ELLIPTIC OPERATORS / Shih, Weishu -- Backmatter
Record Nr. UNINA-9910154746103321
Princeton, NJ : , : Princeton University Press, , [2016]
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The Relation of Cobordism to K-Theories / P. E. Conner, E. E. Floyd
The Relation of Cobordism to K-Theories / P. E. Conner, E. E. Floyd
Autore Conner, Pierre E.
Pubbl/distr/stampa Berlin, : Springer, 1966
Descrizione fisica viii, 116 p. : ill. ; 24 cm
Altri autori (Persone) Floyd, Edwin E.
Soggetto topico 55-XX - Algebraic topology [MSC 2020]
19-XX - $K$-theory [MSC 2020]
Soggetto non controllato Characteristic class
K-theory
Kobordismus
Manifolds
Morphism
Relation
Topology
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN0254509
Conner, Pierre E.  
Berlin, : Springer, 1966
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The Relation of Cobordism to K-Theories / P. E. Conner, E. E. Floyd
The Relation of Cobordism to K-Theories / P. E. Conner, E. E. Floyd
Autore Conner, Pierre E.
Pubbl/distr/stampa Berlin, : Springer, 1966
Descrizione fisica viii, 116 p. : ill. ; 24 cm
Altri autori (Persone) Floyd, Edwin E.
Soggetto topico 19-XX - K-theory [MSC 2020]
55-XX - Algebraic topology [MSC 2020]
Soggetto non controllato Characteristic class
K-theory
Kobordismus
Manifolds
Morphism
Relation
Topology
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Record Nr. UNICAMPANIA-VAN00254509
Conner, Pierre E.  
Berlin, : Springer, 1966
Materiale a stampa
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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]
Materiale a stampa
Lo trovi qui: Univ. Federico II
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