Homotopy theory of small diagrams over large categories
Algebraic Topology
2007-05-23 v1 Category Theory
Abstract
Let be a large category which is cocomplete. We construct a model structure (in the sense of Quillen) on the category of small functors from to simplicial sets. As an application we construct homotopy localization functors on the category of simplicial sets which satisfy a stronger universal property than the customary homotopy localization functors do.
Keywords
Cite
@article{arxiv.math/0607117,
title = {Homotopy theory of small diagrams over large categories},
author = {Boris Chorny and William G. Dwyer},
journal= {arXiv preprint arXiv:math/0607117},
year = {2007}
}
Comments
LaTeX2e, 11 pages