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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
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