Article contents
THE A-COMPLEXITY OF A SPACE
Published online by Cambridge University Press: 06 March 2002
Abstract
Suppose that A is a pointed CW-complex. The paper looks at how difficult it is to construct an A-cellular space B from copies of A by repeatedly taking homotopy colimits; this is determined by an ordinal number called the complexity of B. Studying the complexity leads to an iterative technique, based on resolutions, for constructing the A-cellular approximation CWA(X) of an arbitrary space X.
- Type
- Research Article
- Information
- Copyright
- 2002 London Mathematical Society
- 4
- Cited by