English

Model structures on pro-categories

Algebraic Topology 2007-05-23 v1

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 GG-spaces, where GG is a pro-finite group. The class of weak equivalences is an approximation to the class of underlying weak equivalences.

Keywords

Cite

@article{arxiv.math/0511057,
  title  = {Model structures on pro-categories},
  author = {Halvard Fausk and Daniel C. Isaksen},
  journal= {arXiv preprint arXiv:math/0511057},
  year   = {2007}
}

Comments

29 pages