Locally homogeneous ANR-spaces
type: Item
instance of: scholarly article
title: Locally homogeneous ANR-spaces
zbMATH Open document ID: 0532.54015
DOI: 10.1007/BF01193784
author: Hans-Peter Seidel
published in: Archiv der Mathematik
publication date: 1985-01-01T00:00:00Z
review text: It is proved that every locally compact, locally homogeneous separable ANR satisfies Brouwer's theorem on the invariance of domain, and that each connected space of this type is a Cantor manifold. Also it is shown that a closed subset of such a space has a nonempty interior if and only if it has the same dimension as the entire space.
Mathematics Subject Classification ID: 54C55
zbMATH DE Number: 3844602
zbMATH Keywords: locally compact, locally homogeneous separable ANR
zbMATH Keywords: Brouwer's theorem on the invariance of domain
zbMATH Keywords: connected space
zbMATH Keywords: Cantor manifold
zbMATH Keywords: closed subset
zbMATH Keywords: dimension
MaRDI profile type: Publication
cites work: Some remarks concerning topologically homogeneous spaces
cites work: Q5532996
cites work: Q3289531
cites work: Q4097894
cites work: Locally homogeneous spaces
full work available at URL: https://doi.org/10.1007/bf01193784
OpenAlex ID: W2062935746
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description: scientific article; zbMATH DE number 3844602