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Calculating limits and colimits in pro-categories

Daniel C. Isaksen
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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. Also, we show that cofiltered limits in pro-categories commute with finite colimits.

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Daniel C. Isaksen. 2001-06-12. Calculating limits and colimits in pro-categories. https://arxiv.org/abs/math/0106094

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