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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Lie Equations, Vol. I : General Theory. (AM-73) / / Donald Clayton Spencer, Antonio Kumpera |
Autore | Kumpera Antonio |
Pubbl/distr/stampa | Princeton, NJ : , : Princeton University Press, , [2016] |
Descrizione fisica | 1 online resource (312 pages) |
Disciplina | 512/.55 |
Collana | Annals of Mathematics Studies |
Soggetto topico |
Lie groups
Lie algebras Differential equations |
Soggetto non controllato |
Adjoint representation
Adjoint Affine transformation Alexander Grothendieck Analytic function Associative algebra Atlas (topology) Automorphism Bernhard Riemann Big O notation Bundle map Category of topological spaces Cauchy–Riemann equations Coefficient Commutative diagram Commutator Complex conjugate Complex group Complex manifold Computation Conformal map Continuous function Coordinate system Corollary Cotangent bundle Curvature tensor Deformation theory Derivative Diagonal Diffeomorphism Differentiable function Differential form Differential operator Differential structure Direct proof Direct sum Ellipse Endomorphism Equation Exact sequence Exactness Existential quantification Exponential function Exponential map (Riemannian geometry) Exterior derivative Fiber bundle Fibration Frame bundle Frobenius theorem (differential topology) Frobenius theorem (real division algebras) Group isomorphism Groupoid Holomorphic function Homeomorphism Integer J-invariant Jacobian matrix and determinant Jet bundle Linear combination Linear map Manifold Maximal ideal Model category Morphism Nonlinear system Open set Parameter Partial derivative Partial differential equation Pointwise Presheaf (category theory) Pseudo-differential operator Pseudogroup Quantity Regular map (graph theory) Requirement Riemann surface Right inverse Scalar multiplication Sheaf (mathematics) Special case Structure tensor Subalgebra Subcategory Subgroup Submanifold Subset Tangent bundle Tangent space Tangent vector Tensor field Tensor product Theorem Torsion tensor Transpose Variable (mathematics) Vector bundle Vector field Vector space Volume element |
ISBN | 1-4008-8173-0 |
Formato | Materiale a stampa ![]() |
Livello bibliografico | Monografia |
Lingua di pubblicazione | eng |
Nota di contenuto | Frontmatter -- Foreword -- Glossary of Symbols -- Table of Contents -- Introduction -- A. Integrability of Lie Structures -- B. Deformation Theory of Lie Structures -- Chapter I. Jet Sheaves and Differential Equations -- Chapter II. Linear Lie Equations -- Chapter III. Derivations and Brackets -- Chapter IV. Non-Linear Complexes -- Chapter V. Derivations of Jet Forms -- Appendix. Lie Groupoids -- References -- Index |
Record Nr. | UNINA-9910154751903321 |
Kumpera Antonio
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Princeton, NJ : , : Princeton University Press, , [2016] | ||
![]() | ||
Lo trovi qui: Univ. Federico II | ||
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