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Higher Segal Spaces / Tobias Dyckerhoff, Mikhail Kapranov
| Higher Segal Spaces / Tobias Dyckerhoff, Mikhail Kapranov |
| Autore | Dyckerhoff, Tobias |
| Pubbl/distr/stampa | Cham, : Springer, 2019 |
| Descrizione fisica | xv, 218 p. : ill. ; 24 cm |
| Altri autori (Persone) | Kapranov, Mikhail |
| Soggetto topico |
55Uxx - Applied homological algebra and category theory in algebraic topology [MSC 2020]
18N50 - Simplicial sets, simplicial objects [MSC 2020] 05Exx - Algebraic combinatorics [MSC 2020] 19D10 - Algebraic $K$-theory of spaces [MSC 2020] |
| Soggetto non controllato |
1-Segal spaces
2-Segal property 2-Segal spaces Bousfield localization Exact ∞-category Higher category theory Implicial topological space Monads in bispans Path space criterion Pre-category objects Segal Spaces Waldhausen's S-construction |
| Formato | Materiale a stampa  |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0125414 |
Dyckerhoff, Tobias
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| Cham, : Springer, 2019 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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Higher topos theory [[electronic resource] /] / Jacob Lurie
| 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 |
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Lurie Jacob <1977->
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| Princeton, N.J., : Princeton University Press, 2009 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Higher topos theory [[electronic resource] /] / Jacob Lurie
| 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 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Federico II | ||
| ||
Local homotopy theory / John F. Jardine
| Local homotopy theory / John F. Jardine |
| Autore | Jardine, John F. |
| Pubbl/distr/stampa | New York, : Springer, 2015 |
| Descrizione fisica | IX, 508 p. : ill. ; 24 cm |
| Soggetto topico |
14F42 - Motivic cohomology; motivic homotopy theory [MSC 2020]
55P60 - Localization and completion in homotopy theory [MSC 2020] 18N40 - Homotopical algebra, Quillen model categories, derivators [MSC 2020] 55P42 - Stable homotopy theory, spectra [MSC 2020] 55U35 - Abstract and axiomatic homotopy theory in algebraic topology [MSC 2020] |
| Soggetto non controllato |
Algebraic K-theory
Higher category theory Homotopical algebra Homotopy theory Model categories Motivic homotopy theory Non-abelian cohomology Simplicial sheaves Stable homotopy theory Topological modular forms |
| Formato | Materiale a stampa |
| Livello bibliografico | Monografia |
| Lingua di pubblicazione | eng |
| Titolo uniforme | |
| Record Nr. | UNICAMPANIA-VAN0113102 |
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Jardine, John F.
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| New York, : Springer, 2015 | ||
| Materiale a stampa | ||
| Lo trovi qui: Univ. Vanvitelli | ||
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