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Incompressibility of
maps and the homotopy invariance of Čech cohomology
Allan Calder and Frank Williams |
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Vol. 94 (1981), No. 1, 13–20
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Abstract |
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The Ω-compressibility dimension of a space Y is the largest integer r for which every map f : X → Y from a normal space with dimension less than r, the loop map Ωf : ΩX → ΩY is compressible. Bounds are determined for the Ω-compressibility dimension of Eilenberg-Maclane spaces of type (Z,2n) and (Zpk,2n). In application this is used to settle the question as to when Čech cohomology based on finite covers is a homotopy invariant functor. |
Mathematical Subject Classification 2000
Primary: 55P20
Secondary: 55N05
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Milestones
Received: 16 May 1980
Published: 1 May 1981
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Authors |
| Allan Calder | |
| Frank Williams | |
| Department of Mathematics, MSC
3MB New Mexico State University PO Box 30001 Las Cruces NM 88003-8001 United States |
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