Detecting cohomologically stable mappings

Author:
Philip L. Bowers

Journal:
Proc. Amer. Math. Soc. **86** (1982), 679-684

MSC:
Primary 54F45; Secondary 55M10

DOI:
https://doi.org/10.1090/S0002-9939-1982-0674105-3

MathSciNet review:
674105

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Abstract: Let be a cohomologically stable mapping defined from a compactum to the , let be the projection, and let and be opposite faces of . If is a separator or a continuum-wise separator of and in , then is cohomologically stable. This result is used to extend certain computations of cohomological dimension that are due to Walsh, who considered only the special case of the identity mapping on .

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Additional Information

DOI:
https://doi.org/10.1090/S0002-9939-1982-0674105-3

Keywords:
Cohomological dimension,
cohomologically stable mapping,
Eilenberg-Mac Lane space

Article copyright:
© Copyright 1982
American Mathematical Society