English

Injective and Projective Model Structures on Enriched Diagram Categories

Algebraic Topology 2020-01-17 v2 Category Theory

Abstract

In the enriched setting, the notions of injective and projective model structures on a category of enriched diagrams also make sense. In this paper, we prove the existence of these model structures on enriched diagram categories under local presentability, accessibility, and "acyclicity" conditions, using the methods of lifting model structures from an adjunction introduced by Garner, Hess, Kedziorek, Riehl, and Shipley.

Keywords

Cite

@article{arxiv.1710.11388,
  title  = {Injective and Projective Model Structures on Enriched Diagram Categories},
  author = {Lyne Moser},
  journal= {arXiv preprint arXiv:1710.11388},
  year   = {2020}
}

Comments

21 pages

R2 v1 2026-06-22T22:30:59.178Z