Title: Model structures on pro-categories
Authors: Halvard Fausk, Daniel C. Isaksen
E-mail: fausk@math.uio.no, isaksen@math.wayne.edu
Address: Department of Mathematics, University of Oslo,
1053 Blindern, 0316 Oslo, Norway
Department of Mathematics, Wayne State University, Detroit, MI 48202, USA
Included postscript: none
AMS Classification: 55U35 Primary ; Secondary 55P91, 18G55
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.