model category, model -category
on chain complexes/model structure on cosimplicial abelian groups
related by the Dold-Kan correspondence
There exists the model category structure on the category of semi-simplicial sets which is transferred along the right adjoint to the forgetful functor from the classical model structure on simplicial sets (van den Berg 13). See this discussion, which seems to conclude that this is Quillen equivalent to the classical model structure on simplicial sets.
There is also a weak model category structure (Henry 18), for which the Quillen equivalence to simplicial sets is proven as Henry 18, Thm 5.5.6 (iv).
Also there is the structure of a semimodel category (Rooduijn 2018) and of a fibration category and cofibration category on semisimplicial sets (Sattler 18, Th, 3.18 & 3.43).
As a model category-structure:
As a weak model category:
As a right semimodel category:
As a fibration category and cofibration category:
Last revised on June 26, 2021 at 06:19:39. See the history of this page for a list of all contributions to it.