Metrizability of general ANR
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- by Kōichi Tsuda
- Proc. Amer. Math. Soc. 96 (1986), 375-378
- DOI: https://doi.org/10.1090/S0002-9939-1986-0818475-5
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Abstract:
We show that every nonmetrizable ${\text {ANR(}}\mathcal {P}{\text {)}}$ contains a copy of a Tychonoff cube of uncountable weight. Hence, every finite dimensional ${\text {ANR(}}\mathcal {P}{\text {)}}$ is metrizable, and every ${\text {ANR(}}\mathcal {P}{\text {)}}$, each point of which is a ${G_\delta }$-set, is metrizable, where $\mathcal {P}$ denotes the class of all paracompact $p$-spaces.References
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Bibliographic Information
- © Copyright 1986 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 96 (1986), 375-378
- MSC: Primary 54C55; Secondary 54B35, 54D18, 54F15, 54F45
- DOI: https://doi.org/10.1090/S0002-9939-1986-0818475-5
- MathSciNet review: 818475