Higher Topos Theory (AM-170) /

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Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, higher categories in which all higher morphisms are assumed to be invertible. In Higher Topos Theory, Jacob Lurie presents the foundations of th...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Lurie, Jacob (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2009]
Edición:Course Book
Colección:Annals of Mathematics Studies ; 170
Temas:
Categories (Mathematics).
Toposes.
MATHEMATICS / Algebra / Abstract.
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.
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