Title: Comparing homotopy categories
Author: David Blanc
e-mail: blanc@math.haifa.ac.il
Address: Department of Mathematics
University of Haifa
31905 Haifa
Israel
AMS Classification: Primary: 55U35; Secondary: 55P65, 55Q35, 18G55
Abstract:
Given a suitable functor T:C -> D between model categories, we
define a long exact sequence relating the homotopy groups of any
X in C with those of TX, and use this to describe an
obstruction theory for lifting an object G in D to C.
Examples include finding spaces with given homology or homotopy groups.