Homology, Homotopy and Applications
Volume 9 (2007)
Model structures on pro-categories
Pages: 367 – 398
We introduce a notion of a filtered model structure and use this notion to produce various model structures on procategories. We give several examples, including a homotopy theory for $G$-spaces, where $G$ is a profinite group. The class of weak equivalences are an approximation to the class of underlying weak equivalences.
model category, pro-category
2010 Mathematics Subject Classification
Primary 55U35. Secondary 18G55, 55P91.