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A note on Ščepin's theorem


Author: Kōichi Tsuda
Journal: Proc. Amer. Math. Soc. 91 (1984), 167-170
MSC: Primary 54C55; Secondary 54B35, 54D18, 54E18, 54F15, 54F45
DOI: https://doi.org/10.1090/S0002-9939-1984-0735586-1
MathSciNet review: 735586
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Abstract: We shall generalize a theorem of Ščepin as follows.

Theorem. Every finite dimensional $ {\text{ANR}}({\mathcal{P}_1})$ is metrizable, where $ {\mathcal{P}_1}$ denotes the class of all $ \sigma $-locally compact, paracompact $ p$-spaces.


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Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1984-0735586-1
Keywords: ANR, paracompact $ p$-space, generalized Peano continuum
Article copyright: © Copyright 1984 American Mathematical Society

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