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 étale homotopy types. We also correct some mistakes in the literature on this topic.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm175-2-7,
author = {Daniel C. Isaksen},
title = {Calculating limits and colimits in pro-categories},
journal = {Fundamenta Mathematicae},
volume = {173},
year = {2002},
pages = {175-194},
zbl = {1039.18002},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm175-2-7}
}
Daniel C. Isaksen. Calculating limits and colimits in pro-categories. Fundamenta Mathematicae, Tome 173 (2002) pp. 175-194. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm175-2-7/