Comparing homotopy categories
Algebraic Topology
2007-05-23 v1
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.
Cite
@article{arxiv.math/0606458,
title = {Comparing homotopy categories},
author = {David Blanc},
journal= {arXiv preprint arXiv:math/0606458},
year = {2007}
}
Comments
28 pages