Calculating limits and colimits in pro-categories
classification
🧮 math.CT
keywords
colimitslimitspro-categoriesapplicationsargumentscalculatingcertaincofiltered
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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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