Spaces without cohomological dimension preserving compactifications
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- by Jerzy Dydak and John J. Walsh PDF
- Proc. Amer. Math. Soc. 113 (1991), 1155-1162 Request permission
Abstract:
Examples are constructed that include: first, a separable metric space having cohomological dimension 4 such that every Hausdorff compactification has cohomological dimension at least 5; second, a locally compact metric space having cohomological dimension 4 whose Stone-Čech compactification has infinite cohomological dimension.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 113 (1991), 1155-1162
- MSC: Primary 54F45; Secondary 54D35, 55M10
- DOI: https://doi.org/10.1090/S0002-9939-1991-1081695-3
- MathSciNet review: 1081695