Left determined model categories
Category Theory
2015-11-10 v4 Algebraic Topology
Abstract
Several methods for constructing left determined model structures are expounded. The starting point is Olschok's work on locally presentable categories. We give sufficient conditions to obtain left determined model structures on a full reflective subcategory, on a full coreflective subcategory and on a comma category. An application is given by constructing a left determined model structure on star-shaped weak transition systems.
Keywords
Cite
@article{arxiv.1507.02128,
title = {Left determined model categories},
author = {Philippe Gaucher},
journal= {arXiv preprint arXiv:1507.02128},
year = {2015}
}
Comments
19 pages; v2: typos fixed, in particular a very confusing one between \gamma_i and \sigma_i; v3: reachable transition system replaced by star-shaped transition system + 2 new theorems in the toolbox; v4 new title + minor revisions (final version)