Comparing homotopy categories

Details Comparing homotopy categories Comparing homotopy categories

2006-06-19

arxiv.org/abs/math/0606458v1

Mathematics

Algebraic Topology

28 pages

Scientific paper

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.

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