Author: Rafael Villarroel-Flores
Address:
Instituto de Matematicas,
UNAM,
Circuito Exterior,
Ciudad Universitaria,
Mexico, D.F.,
MEXICO

Title: Homotopy Equivalence of Simplicial Sets with a Group Action

Abstract:
We describe several theorems that allow us to establish the equivariant homotopy 
equivalence of two simplicial sets with a group action. They are also applied 
via the nerve functor to the context of categories, especially to some
of those defined by Dwyer in the context of homology decompositions. These theorems 
generalize results by Quillen, Th\'evenaz and Webb, and others.

Preprint, March 2000, submitted