English

Model structures from a monad on presheaves

Algebraic Topology 2013-02-08 v1 Category Theory

Abstract

In this note we describe conditions under which the algebras for a monad on a presheaf category equipped with some additional structure are fibrant objects in a model structure. We also prove that when these conditions are satisfied the resulting model structure is, in a suitable sense, the smallest model structure for which the units of the monad give a fibrant replacement.

Keywords

Cite

@article{arxiv.1302.1782,
  title  = {Model structures from a monad on presheaves},
  author = {Michael A. Warren},
  journal= {arXiv preprint arXiv:1302.1782},
  year   = {2013}
}

Comments

10 pages

R2 v1 2026-06-21T23:22:39.876Z