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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]
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
Topological Vector Spaces and Their Applications / V.I. Bogachev, O.G. Smolyanov
Topological Vector Spaces and Their Applications / V.I. Bogachev, O.G. Smolyanov
Autore Bogachev, Vladimir I.
Pubbl/distr/stampa Cham, : Springer, 2017
Descrizione fisica X, 456 p. : ill. ; 24 cm
Altri autori (Persone) Smolyanov, Oleg G.
Soggetto topico 46A03 - General theory of locally convex spaces [MSC 2020]
28C20 - Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) [MSC 2020]
58C20 - Differentiation theory (Gateaux, Fréchet, etc.) on manifolds [MSC 2020]
Soggetto non controllato Differentiation in infinite-dimensional spaces
Integration in infinite-dimensional spaces
Locally convex spaces
Measures on infinite-dimensional spaces
Topological vector space
Formato Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione eng
Titolo uniforme
Record Nr. UNICAMPANIA-VAN0123725
Bogachev, Vladimir I.  
Cham, : Springer, 2017
Materiale a stampa
Lo trovi qui: Univ. Vanvitelli
Opac: Controlla la disponibilità qui