Model structures on pro-categories

Details Model structures on pro-categories Model structures on pro-categories

2005-11-02

arxiv.org/abs/math/0511057v1

Mathematics

Algebraic Topology

29 pages

Scientific paper

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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