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Model structures on pro-categories

Halvard Fausk, Daniel C. Isaksen

math.ATarXiv:math/0511057

Abstract

We introduce a notion of a filtered model structure and use this notion to produce various model structures on pro-categories. This framework generalizes several known examples. We give several examples, including a homotopy theory for G-spaces, where G is a pro-finite group. The class of weak equivalences is an approximation to the class of underlying weak equivalences.

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