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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
Triangulated categories / / by Amnon Neeman
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  
Princeton, New Jersey : , : Princeton University Press, , 2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui
Triangulated categories / / by Amnon Neeman
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  
Princeton, New Jersey : , : Princeton University Press, , 2001
Materiale a stampa
Lo trovi qui: Univ. Federico II
Opac: Controlla la disponibilità qui