A note on cohomological dimension of approximate movable spaces
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- by Tadashi Watanabe PDF
- Proc. Amer. Math. Soc. 123 (1995), 2883-2885 Request permission
Abstract:
We show that any approximate movable compact metric space X satisfies the equality $\dim X = {\dim _\mathbb {Z}}X$ without finite dimensional condition. Thus there is no approximate movable compact metric space X with $\dim X = \infty$ and ${\dim _\mathbb {Z}}X < \infty$. Since ANRs and some generalized ANRs are approximate movable, they satisfy the above equality.References
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Additional Information
- © Copyright 1995 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 123 (1995), 2883-2885
- MSC: Primary 54C55; Secondary 54C56, 54F45
- DOI: https://doi.org/10.1090/S0002-9939-1995-1327050-3
- MathSciNet review: 1327050