Calculating limits and colimits in pro-categories
Volume 175 / 2002
Fundamenta Mathematicae 175 (2002), 175-194
MSC: 18A30, 18Exx, 55U35, 14F35.
DOI: 10.4064/fm175-2-7
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 étale homotopy types. We also correct some mistakes in the literature on this topic.
