model category
category with weak equivalences
(relative category, homotopical category)
fibration, cofibration
weak factorization system
resolution
cell complex
small object argument
homotopy
homotopy category$\;$of a model category
Quillen adjunction
Quillen equivalence
Quillen bifunctor
derived functor
homotopy Kan extension
homotopy limit/homotopy colimit
homotopy weighted (co)limit
homotopy (co)end
Bousfield-Kan map
monoidal model category
enriched model category
simplicial model category
cofibrantly generated model category
combinatorial model category
cellular model category
algebraic model category
compactly generated model category
proper model category
cartesian closed model category, locally cartesian closed model category
stable model category
on functor categories (global)
on slice categories
Bousfield localization
transferred model structure
Grothendieck construction for model categories
(∞,1)-category
simplicial localization
(∞,1)-categorical hom-space
presentable (∞,1)-category
for ∞-groupoids
on topological spaces
classical model structure
on compactly generated spaces
on Delta-generated spaces
on diffeological spaces
Strøm model structure
Thomason model structure
model structure on presheaves over a test category
on simplicial sets, on semi-simplicial sets
constructive model structure
for right/left fibrations
model structure on simplicial groupoids
on cubical sets
on strict ∞-groupoids, on groupoids
on chain complexes/model structure on cosimplicial abelian groups
related by the Dold-Kan correspondence
model structure on cosimplicial simplicial sets
fine model structure on topological G-spaces
coarse model structure on topological G-spaces
(Borel model structure)
model structure on equivariant chain complexes
model structure on equivariant dgc-algebras
for n-groupoids/for n-types
for 1-groupoids
model structure on simplicial groups
model structure on reduced simplicial sets
on monoids
on simplicial T-algebras, on homotopy T-algebras
on algebas over a monad
on algebras over an operad,
on modules over an algebra over an operad
model structure on differential-graded commutative algebras
model structure on differential graded-commutative superalgebras
on dg-algebras over an operad
on dg-algebras and on on simplicial rings/on cosimplicial rings
related by the monoidal Dold-Kan correspondence
for L-∞ algebras: on dg-Lie algebras, on dg-coalgebras, on simplicial Lie algebras
model structure on dg-modules
model structure on spectra
model structure on ring spectra
model structure on presheaves of spectra
on categories with weak equivalences
Joyal model for quasi-categories
on sSet-categories
for complete Segal spaces
for Cartesian fibrations
on operads, for Segal operads
on dendroidal sets, for dendroidal complete Segal spaces, for dendroidal Cartesian fibrations
for (n,r)-categories as ∞-spaces
for weak ∞-categories as weak complicial sets
on cellular sets
on higher categories in general
on strict ∞-categories
on homotopical presheaves
on simplicial presheaves
global model structure/Cech model structure/local model structure
on simplicial sheaves
on presheaves of simplicial groupoids
on sSet-enriched presheaves
model structure for (2,1)-sheaves/for stacks
Last revised on September 21, 2021 at 04:56:16. See the history of this page for a list of all contributions to it.