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.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Triangulated categories / / by Amnon Neeman |
Autore | Neeman Amnon |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2001 |
Descrizione fisica | 1 online resource (461 p.) |
Disciplina | 512/.55 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Categories (Mathematics) |
Soggetto non controllato |
Abelian category
Abelian group Additive category Adjoint functors Adjoint Adjunction (field theory) Associative property Axiom Basis (linear algebra) Bijection Biproduct Brown's representability theorem Cardinal number Cardinality Category of abelian groups Chain complex Class (set theory) Cohomology Computation Coproduct Corollary Countable set Counterexample Derived category Derived functor Diagram (category theory) Direct limit Direct sum Discrete valuation ring Duality (mathematics) Embedding Equivalence class Equivalence of categories Exact functor Exact sequence Existence theorem Existential quantification Factorization Finitely generated abelian group Functor category Functor Grothendieck category Grothendieck's Tôhoku paper Group homomorphism Homological algebra Homotopy category of chain complexes Homotopy category Homotopy colimit Homotopy I0 Injective function Injective object Integer Isomorph Isomorphism class Jack Morava K-theory Limit (category theory) Limit of a sequence Limit ordinal Linear map Mapping cone (homological algebra) Mathematical induction Maximal ideal Module (mathematics) Monomorphism Moore space Morphism N0 Natural transformation Open set Partially ordered set Pierre Deligne Prime number Projective object Proportionality (mathematics) Quotient category Regular cardinal Representable functor Sheaf (mathematics) Special case Spectral sequence Subcategory Subobject Subsequence Subset Successor ordinal Summation Tautology (logic) Tensor product Theorem Theory Topological group Transfinite induction Transfinite Triangulated category Universal property Vector space Vladimir Voevodsky Yoneda lemma |
ISBN |
0-691-08685-0
1-4008-3721-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- 0. Acknowledgements -- 1. Introduction -- Chapter 1. Definition and elementary properties of triangulated categories -- Chapter 2. Triangulated functors and localizations of triangulated categories -- Chapter 3. Perfection of classes -- Chapter 4. Small objects, and Thomason's localisation theorem -- Chapter 5. The category A(S) -- Chapter 6. The category Εx (Sop, Ab) -- Chapter 7. Homological properties of Εx(Sop,Αb) -- Chapter 8. Brown representability -- Chapter 9. Bousfield localisation -- Appendix A. Abelian categories -- Appendix B. Homological functors into [AB5α] categories -- Appendix C. Counterexamples concerning the abelian category A(Τ) -- Appendix D. Where Τ is the homotopy category of spectra -- Appendix E. Examples of non-perfectly-generated categories -- Bibliography -- Index |
Record Nr. | UNINA-9910791958903321 |
Neeman Amnon
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||
Princeton, New Jersey : , : Princeton University Press, , 2001 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
|
Triangulated categories / / by Amnon Neeman |
Autore | Neeman Amnon |
Pubbl/distr/stampa | Princeton, New Jersey : , : Princeton University Press, , 2001 |
Descrizione fisica | 1 online resource (461 p.) |
Disciplina | 512/.55 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Categories (Mathematics) |
Soggetto non controllato |
Abelian category
Abelian group Additive category Adjoint functors Adjoint Adjunction (field theory) Associative property Axiom Basis (linear algebra) Bijection Biproduct Brown's representability theorem Cardinal number Cardinality Category of abelian groups Chain complex Class (set theory) Cohomology Computation Coproduct Corollary Countable set Counterexample Derived category Derived functor Diagram (category theory) Direct limit Direct sum Discrete valuation ring Duality (mathematics) Embedding Equivalence class Equivalence of categories Exact functor Exact sequence Existence theorem Existential quantification Factorization Finitely generated abelian group Functor category Functor Grothendieck category Grothendieck's Tôhoku paper Group homomorphism Homological algebra Homotopy category of chain complexes Homotopy category Homotopy colimit Homotopy I0 Injective function Injective object Integer Isomorph Isomorphism class Jack Morava K-theory Limit (category theory) Limit of a sequence Limit ordinal Linear map Mapping cone (homological algebra) Mathematical induction Maximal ideal Module (mathematics) Monomorphism Moore space Morphism N0 Natural transformation Open set Partially ordered set Pierre Deligne Prime number Projective object Proportionality (mathematics) Quotient category Regular cardinal Representable functor Sheaf (mathematics) Special case Spectral sequence Subcategory Subobject Subsequence Subset Successor ordinal Summation Tautology (logic) Tensor product Theorem Theory Topological group Transfinite induction Transfinite Triangulated category Universal property Vector space Vladimir Voevodsky Yoneda lemma |
ISBN |
0-691-08685-0
1-4008-3721-9 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Front matter -- Contents -- 0. Acknowledgements -- 1. Introduction -- Chapter 1. Definition and elementary properties of triangulated categories -- Chapter 2. Triangulated functors and localizations of triangulated categories -- Chapter 3. Perfection of classes -- Chapter 4. Small objects, and Thomason's localisation theorem -- Chapter 5. The category A(S) -- Chapter 6. The category Εx (Sop, Ab) -- Chapter 7. Homological properties of Εx(Sop,Αb) -- Chapter 8. Brown representability -- Chapter 9. Bousfield localisation -- Appendix A. Abelian categories -- Appendix B. Homological functors into [AB5α] categories -- Appendix C. Counterexamples concerning the abelian category A(Τ) -- Appendix D. Where Τ is the homotopy category of spectra -- Appendix E. Examples of non-perfectly-generated categories -- Bibliography -- Index |
Record Nr. | UNINA-9910821730503321 |
Neeman Amnon
![]() |
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Princeton, New Jersey : , : Princeton University Press, , 2001 | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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