Algebraic Topology and Algebraic K-Theory (AM-113), Volume 113 : Proceedings of a Symposium in Honor of John C. Moore. (AM-113) / / William Browder |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (577 pages) : illustrations |
Disciplina | 514/.2 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Algebraic topology
K-theory |
Soggetto non controllato |
Abelian group
Adams spectral sequence Adjoint functors Adjunction (field theory) Algebraic K-theory Algebraic closure Algebraic geometry Algebraic group Algebraic number field Algebraic space Algebraic topology Algebraically closed field Associative algebra Boundary (topology) CW complex Classification theorem Closure (mathematics) Coalgebra Cofibration Cohomology Commutative diagram Commutative property Coproduct Deformation theory Degenerate bilinear form Diagram (category theory) Differentiable manifold Dimension (vector space) Division algebra Eilenberg–Moore spectral sequence Epimorphism Exterior (topology) Formal power series Free Lie algebra Free algebra Freudenthal suspension theorem Function (mathematics) Function space Functor G-module Galois extension Global dimension Group cohomology Group homomorphism H-space Hilbert's Theorem 90 Homology (mathematics) Homomorphism Homotopy category Homotopy group Homotopy Hopf algebra Hopf invariant Hurewicz theorem Inclusion map Inequality (mathematics) Integral domain Isometry Isomorphism class K-theory Lie algebra Lie group Limit (category theory) Loop space Mathematician Mathematics Noetherian ring Order topology P-adic number Polynomial ring Polynomial Prime number Principal bundle Principal ideal domain Projective module Projective plane Pullback (category theory) Pushout (category theory) Ring of integers Series (mathematics) Sheaf (mathematics) Simplicial category Simplicial complex Simplicial set Special case Spectral sequence Square (algebra) Stable homotopy theory Steenrod algebra Superalgebra Theorem Topological K-theory Topological space Topology Triviality (mathematics) Uniqueness theorem Universal enveloping algebra Vector bundle Weak equivalence (homotopy theory) William Browder (mathematician) |
ISBN | 1-4008-8211-7 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- I. Exponents in Homotopy Theory / Cohen, F. R. / Moore, J. C. / Neisendorfer, J. A. -- II. The Exponent of a Moore Space / Neisendorfer, Joseph A. -- III. The Space of Maps of Moore Spaces Into Spheres / Campbell, H. E. A. / Cohen, F. R. / Peterson, F. P. / Selick, P. S. -- IV. The Adams Spectral Sequence of Ω2S3 and Brown Gitlet Spectra / Brown, Edgar H. / Cohen, Ralph L. -- V. Homotopy Groups of Some Mapping Telescopes / Davis, Donald M. / Mahowald, Mark -- VI. Mapping Telescopes and K*-Localization / Davis, Donald M. / Mahowald, Mark / Miller, Haynes -- VII. The Geometric Realization of The Chromatic Resolution / Ravenel, Douglas C. -- VIII. Equivalences Between Homotopy Theories of Diagrams / Dwyer, W. G. / Kan, D. M. -- IX. The Role of The Steenrod Algebra in The Mod 2 Cohomology of a Finite H-Space / Lin, James P. -- X. Maps Between Classifying Spaces / Zabrodsky, A. -- XI. Generic Algebras and CW Complexes / Anick, David J. -- XII. Deformation Theory and The Little Constructions of Cartan and Moore / Stasheff, Jim -- XIII. Free (ℤ/2)3 - Actions on Finite Complexes / Carlsson, Gunnar -- XIV. Equivariant Constructions of Nonequivariant Spectra / May, J. P. -- XV. A Decomposition of The Space of Generalized Morse Functions / Cohen, Ralph L. -- XVI. Algebriac K-Theory of Spaces, Concordance, and Stable Homotopy Theory / Waldhausen, Friedhelm -- XVII. The Map BSG → A(*) → QS° / Bokstedt, Marcel / Waldhausen, Friedhelm -- XVIII. Vector Bundles, Projective Modules and The K-Theory of Spheres / Swan, Richard G. -- XIX. Limits Of Infinitesimal Group Cohomology / Friedlander, Eric M. / Parshall, Brian J. -- XX. Algebraic K-Theory of Group Scheme Actions / Thomason, R. W. -- Backmatter |
Record Nr. | UNINA-9910154749203321 |
Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Etale Homotopy of Simplicial Schemes. (AM-104), Volume 104 / / Eric M. Friedlander |
Autore | Friedlander Eric M. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (193 pages) |
Disciplina | 514/.24 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Homotopy theory
Schemes (Algebraic geometry) Homology theory |
Soggetto non controllato |
Abelian group
Adams operation Adjoint functors Alexander Grothendieck Algebraic K-theory Algebraic closure Algebraic geometry Algebraic group Algebraic number theory Algebraic structure Algebraic topology (object) Algebraic topology Algebraic variety Algebraically closed field Automorphism Base change Cap product Cartesian product Closed immersion Codimension Coefficient Cohomology Comparison theorem Complex number Complex vector bundle Connected component (graph theory) Connected space Coprime integers Corollary Covering space Derived functor Dimension (vector space) Disjoint union Embedding Existence theorem Ext functor Exterior algebra Fiber bundle Fibration Finite field Finite group Free group Functor Fundamental group Galois cohomology Galois extension Geometry Grothendieck topology Homogeneous space Homological algebra Homology (mathematics) Homomorphism Homotopy category Homotopy group Homotopy Integral domain Intersection (set theory) Inverse limit Inverse system K-theory Leray spectral sequence Lie group Local ring Mapping cylinder Natural number Natural transformation Neighbourhood (mathematics) Newton polynomial Noetherian ring Open set Opposite category Pointed set Presheaf (category theory) Reductive group Regular local ring Relative homology Residue field Riemann surface Root of unity Serre spectral sequence Shape theory (mathematics) Sheaf (mathematics) Sheaf cohomology Sheaf of spectra Simplex Simplicial set Special case Spectral sequence Surjective function Theorem Topological K-theory Topological space Topology Tubular neighborhood Vector bundle Weak equivalence (homotopy theory) Weil conjectures Weyl group Witt vector Zariski topology |
ISBN | 1-4008-8149-8 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- INTRODUCTION -- 1. ETALE SITE OF A SIMPLICIAL SCHEME -- 2. SHEAVES AND COHOMOLOGY -- 3. COHOMOLOGY VIA HYPERCOVERINGS -- 4. ETALE TOPOLOGICAL TYPE -- 5. HOMOTOPY INVARIANTS -- 6. WEAK EQUIVALENCES, COMPLETIONS, AND HOMOTOPY LIMITS -- 7. FINITENESS AND HOMOLOGY -- 8. COMPARISON OF HOMOTOPY TYPES -- 9. APPLICATIONS TO TOPOLOGY -- 10. COMPARISON OF GEOMETRIC AND HOMOTOPY THEORETIC FIBRES -- 11. APPLICATIONS TO GEOMETRY -- 12. APPLICATIONS TO FINITE CHE VALLEY GROUPS -- 13. FUNCTION COMPLEXES -- 14. RELATIVE COHOMOLOGY -- 15. TUBULAR NEIGHBORHOODS -- 16. GENERALIZED COHOMOLOGY -- 17. POINCARÉ DUALITY AND LOCALLY COMPACT HOMOLOGY -- REFERENCES -- INDEX -- Backmatter |
Record Nr. | UNINA-9910154744803321 |
Friedlander Eric M.
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
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Lo trovi qui: Univ. Federico II | ||
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Higher topos theory [[electronic resource] /] / Jacob Lurie |
Autore | Lurie Jacob <1977-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2009 |
Descrizione fisica | 1 online resource (944 p.) |
Disciplina | 512/.62 |
Collana | Annals of mathematics studies |
Soggetto topico |
Toposes
Categories (Mathematics) |
Soggetto non controllato |
Adjoint functors
Associative property Base change map Base change CW complex Canonical map Cartesian product Category of sets Category theory Coequalizer Cofinality Coherence theorem Cohomology Cokernel Commutative property Continuous function (set theory) Contractible space Coproduct Corollary Derived category Diagonal functor Diagram (category theory) Dimension theory (algebra) Dimension theory Dimension Enriched category Epimorphism Equivalence class Equivalence relation Existence theorem Existential quantification Factorization system Functor category Functor Fundamental group Grothendieck topology Grothendieck universe Group homomorphism Groupoid Heyting algebra Higher Topos Theory Higher category theory Homotopy category Homotopy colimit Homotopy group Homotopy I0 Inclusion map Inductive dimension Initial and terminal objects Inverse limit Isomorphism class Kan extension Limit (category theory) Localization of a category Maximal element Metric space Model category Monoidal category Monoidal functor Monomorphism Monotonic function Morphism Natural transformation Nisnevich topology Noetherian topological space Noetherian O-minimal theory Open set Power series Presheaf (category theory) Prime number Pullback (category theory) Pushout (category theory) Quillen adjunction Quotient by an equivalence relation Regular cardinal Retract Right inverse Sheaf (mathematics) Sheaf cohomology Simplicial category Simplicial set Special case Subcategory Subset Surjective function Tensor product Theorem Topological space Topology Topos Total order Transitive relation Universal property Upper and lower bounds Weak equivalence (homotopy theory) Yoneda lemma Zariski topology Zorn's lemma |
ISBN |
1-282-64495-5
9786612644955 1-4008-3055-9 |
Classificazione |
SI 830
SK 320 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. An Overview Of Higher Category Theory -- Chapter Two. Fibrations Of Simplicial Sets -- Chapter Three. The ∞-Category Of ∞-Categories -- Chapter Four. Limits And Colimits -- Chapter Five. Presentable And Accessible ∞-Categories -- Chapter Six. ∞-Topoi -- Chapter Seven. Higher Topos Theory In Topology -- Appendix -- Bibliography -- General Index -- Index Of Notation |
Record Nr. | UNINA-9910784939903321 |
Lurie Jacob <1977->
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Princeton, N.J., : Princeton University Press, 2009 | ||
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Lo trovi qui: Univ. Federico II | ||
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Higher topos theory [[electronic resource] /] / Jacob Lurie |
Autore | Lurie Jacob <1977-> |
Edizione | [Course Book] |
Pubbl/distr/stampa | Princeton, N.J., : Princeton University Press, 2009 |
Descrizione fisica | 1 online resource (944 p.) |
Disciplina | 512/.62 |
Collana | Annals of mathematics studies |
Soggetto topico |
Toposes
Categories (Mathematics) |
Soggetto non controllato |
Adjoint functors
Associative property Base change map Base change CW complex Canonical map Cartesian product Category of sets Category theory Coequalizer Cofinality Coherence theorem Cohomology Cokernel Commutative property Continuous function (set theory) Contractible space Coproduct Corollary Derived category Diagonal functor Diagram (category theory) Dimension theory (algebra) Dimension theory Dimension Enriched category Epimorphism Equivalence class Equivalence relation Existence theorem Existential quantification Factorization system Functor category Functor Fundamental group Grothendieck topology Grothendieck universe Group homomorphism Groupoid Heyting algebra Higher Topos Theory Higher category theory Homotopy category Homotopy colimit Homotopy group Homotopy I0 Inclusion map Inductive dimension Initial and terminal objects Inverse limit Isomorphism class Kan extension Limit (category theory) Localization of a category Maximal element Metric space Model category Monoidal category Monoidal functor Monomorphism Monotonic function Morphism Natural transformation Nisnevich topology Noetherian topological space Noetherian O-minimal theory Open set Power series Presheaf (category theory) Prime number Pullback (category theory) Pushout (category theory) Quillen adjunction Quotient by an equivalence relation Regular cardinal Retract Right inverse Sheaf (mathematics) Sheaf cohomology Simplicial category Simplicial set Special case Subcategory Subset Surjective function Tensor product Theorem Topological space Topology Topos Total order Transitive relation Universal property Upper and lower bounds Weak equivalence (homotopy theory) Yoneda lemma Zariski topology Zorn's lemma |
ISBN |
1-282-64495-5
9786612644955 1-4008-3055-9 |
Classificazione |
SI 830
SK 320 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Chapter One. An Overview Of Higher Category Theory -- Chapter Two. Fibrations Of Simplicial Sets -- Chapter Three. The ∞-Category Of ∞-Categories -- Chapter Four. Limits And Colimits -- Chapter Five. Presentable And Accessible ∞-Categories -- Chapter Six. ∞-Topoi -- Chapter Seven. Higher Topos Theory In Topology -- Appendix -- Bibliography -- General Index -- Index Of Notation |
Record Nr. | UNINA-9910818583203321 |
Lurie Jacob <1977->
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Princeton, N.J., : Princeton University Press, 2009 | ||
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Lo trovi qui: Univ. Federico II | ||
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Introduction to Algebraic Topology / Holger Kammeyer |
Autore | Kammeyer, Holger |
Pubbl/distr/stampa | Cham, : Birkhäuser, : Springer, 2022 |
Descrizione fisica | viii, 182 p. : ill. ; 24 cm |
Soggetto non controllato |
Absolute homology relative
Algebraic Topology Category Theory Cellular homology Fundamental groupoid Fundamental groupoid category Fundamental groupoid van Kampen Homotopy category Homotopy pushout category Homotopy pushouts Relative homology absolute Simplicial homology Singular homology Singular homology vs simplicial Uniqueness of ordinary homology |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Record Nr. | UNICAMPANIA-VAN0276607 |
Kammeyer, Holger
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Cham, : Birkhäuser, : Springer, 2022 | ||
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Lo trovi qui: Univ. Vanvitelli | ||
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Nilpotence and Periodicity in Stable Homotopy Theory. (AM-128), Volume 128 / / Douglas C. Ravenel |
Autore | Ravenel Douglas C. |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (225 pages) |
Disciplina | 514/.24 |
Collana | Annals of Mathematics Studies |
Soggetto topico | Homotopy theory |
Soggetto non controllato |
Abelian category
Abelian group Adams spectral sequence Additive category Affine space Algebra homomorphism Algebraic closure Algebraic structure Algebraic topology (object) Algebraic topology Algebraic variety Algebraically closed field Atiyah–Hirzebruch spectral sequence Automorphism Boolean algebra (structure) CW complex Canonical map Cantor set Category of topological spaces Category theory Classification theorem Classifying space Cohomology operation Cohomology Cokernel Commutative algebra Commutative ring Complex projective space Complex vector bundle Computation Conjecture Conjugacy class Continuous function Contractible space Coproduct Differentiable manifold Disjoint union Division algebra Equation Explicit formulae (L-function) Functor G-module Groupoid Homology (mathematics) Homomorphism Homotopy category Homotopy group Homotopy Hopf algebra Hurewicz theorem Inclusion map Infinite product Integer Inverse limit Irreducible representation Isomorphism class K-theory Loop space Mapping cone (homological algebra) Mathematical induction Modular representation theory Module (mathematics) Monomorphism Moore space Morava K-theory Morphism N-sphere Noetherian ring Noetherian Noncommutative ring Number theory P-adic number Piecewise linear manifold Polynomial ring Polynomial Power series Prime number Principal ideal domain Profinite group Reduced homology Ring (mathematics) Ring homomorphism Ring spectrum Simplicial complex Simply connected space Smash product Special case Spectral sequence Steenrod algebra Sub"ient Subalgebra Subcategory Subring Symmetric group Tensor product Theorem Topological space Topology Vector bundle Zariski topology |
ISBN | 1-4008-8248-6 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Contents -- Preface -- Introduction -- Chapter 1. The main theorems -- Chapter 2. Homotopy groups and the chromatic filtration -- Chapter 3. MU-theory and formal group laws -- Chapter 4. Morava's orbit picture and Morava stabilizer groups -- Chapter 5. The thick subcategory theorem -- Chapter 6. The periodicity theorem -- Chapter 7. Bousfield localization and equivalence -- Chapter 8. The proofs of the localization, smash product and chromatic convergence theorems -- Chapter 9. The proof of the nilpotence theorem -- Appendix A. Some tools from homotopy theory -- Appendix B. Complex bordism and BP-theory -- Appendix C. Some idempotents associated with the symmetric group -- Bibliography -- Index |
Record Nr. | UNINA-9910154751603321 |
Ravenel Douglas C.
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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 | ||
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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-9910821730503321 |
Neeman Amnon
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Princeton, New Jersey : , : Princeton University Press, , 2001 | ||
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Lo trovi qui: Univ. Federico II | ||
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