A new model for pro-categories
Category Theory
2014-06-25 v1 Algebraic Topology
Abstract
In this paper we present a new way to construct the pro-category of a category. This new model is very convenient to work with in certain situations. We present a few applications of this new model, the most important of which solves an open problem of Isaksen [Isa] concerning the existence of functorial factorizations in what is known as the strict model structure on a pro-category. Additionally we explain and correct an error in one of the standard references on pro-categories.
Cite
@article{arxiv.1406.6229,
title = {A new model for pro-categories},
author = {Ilan Barnea and Tomer M. Schlank},
journal= {arXiv preprint arXiv:1406.6229},
year = {2014}
}
Comments
Substantial overlap with arXiv:1305.4607. Accepted for publication in the Journal of Pure and Applied Algebra, reference: JPAA-5048