Calculating limits and colimits in pro-categories
Category Theory
2007-05-23 v1
Abstract
We present some constructions of limits and colimits in pro-categories. These are critical tools in several applications. In particular, certain technical arguments concerning strict pro-maps are essential for a theorem about \'etale homotopy types. Also, we show that cofiltered limits in pro-categories commute with finite colimits.
Keywords
Cite
@article{arxiv.math/0106094,
title = {Calculating limits and colimits in pro-categories},
author = {Daniel C. Isaksen},
journal= {arXiv preprint arXiv:math/0106094},
year = {2007}
}