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The A-Complexity of a Space |
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| Authors: | Chacholski W; Dwyer W G; Intermont M |
| Institution: | Yale University New Haven, CT 06520, USA, chacholskiwojciech{at}math.yale.edu University of Notre Dame Notre Dame, IN 46556, USA, dwyer.1{at}nd.edu Kalamazoo College Kalamazoo, MI 49006, USA, intermon{at}kzoo.edu |
| Abstract: | Suppose that A is a pointed CW-complex. The paper looks at howdifficult it is to construct an A-cellular space B from copiesof A by repeatedly taking homotopy colimits; this is determinedby an ordinal number called the complexity of B. Studying thecomplexity leads to an iterative technique, based on resolutions,for constructing the A-cellular approximation CWA(X) of an arbitraryspace X. |
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