nLab
CW approximation

Context

Homotopy theory

Topology

Contents

Idea

For every topological space XX there is a CW complex ZZ and a weak homotopy equivalence f:ZXf :Z\to X. Such a map f:ZXf :Z\to X is called a CW approximation to XX.

This is the notion of cofibrant replacement in the standard model structure on topological spaces.

References

Revised on September 4, 2012 14:01:47 by Urs Schreiber (131.174.190.104)