Homotopical exact squares and derivators

zbMath1262.18014arXiv1101.4144MaRDI QIDQ2910255

Georges Maltsiniotis

Publication date: 7 September 2012

Full work available at URL: https://arxiv.org/abs/1101.4144

zbMATH Keywords

base changemodel categoryderivatorfundamental localizerexact squareBeck-Chevalley squarecomma squareproper functorsmooth functor

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Sheaf cohomology in algebraic topology (55N30) Resolutions; derived functors (category-theoretic aspects) (18G10) Nonabelian homological algebra (category-theoretic aspects) (18G50) Étale and other Grothendieck topologies and (co)homologies (14F20) Abstract and axiomatic homotopy theory in algebraic topology (55U35) Functor categories, comma categories (18A25) Topological categories, foundations of homotopy theory (55U40)

Related Items

The theory of half derivators ⋮ Homotopy theory of algebras of substitudes and their localisation ⋮ Abstract tilting theory for quivers and related categories ⋮ Higher homotopy categories, higher derivators, and K-theory ⋮ Minimal models for graph-related (hyper)operads ⋮ Tilting theory for trees via stable homotopy theory ⋮ Contractible exact squares ⋮ Regular patterns, substitudes, Feynman categories and operads ⋮ Revisiting the canonicity of canonical triangulations ⋮ Generalized stability for abstract homotopy theories ⋮ Higher symmetries in abstract stable homotopy theories ⋮ Abstract representation theory of Dynkin quivers of type \(A\)