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/