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The A-complexity of a space
- Chacholski, Wojciech (author)
- Dwyer, W. G. (author)
- Intermont, M. (author)
- 2002
- 2002
- English.
- In: Journal of the London Mathematical Society. - 0024-6107 .- 1469-7750. ; 65, s. 204-222
- Journal article (peer-reviewed)
Abstract
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- 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.
Keyword
- homotopy
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- ref (subject category)
- art (subject category)
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