Calculating limits and colimits in pro-categories

Details Calculating limits and colimits in pro-categories Calculating limits and colimits in pro-categories

2001-06-12

arxiv.org/abs/math/0106094v1

Mathematics

Category Theory

Scientific paper

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.

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