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- W4299497589 abstract "In accordance with the Bing-Borsuk conjecture, we show that if X is an n-dimensional homogeneous metric ANR compactum and xin X, then there is a local basis at x consisting of connected open sets U such that the cohomological properties of overline U and bdU are similar to the properties of the closed ball mathbb B^nsubsetmathbb R^n and its boundary mathbb S^{n-1}. We also prove that a metric ANR compactum X of dimension n is dimensionally full-valued if and only if the group H_n(X,Xsetminus x) is not trivial for some xin X. This implies that every 3-dimensional homogeneous metric ANR compactum is dimensionally full-valued." @default.
- W4299497589 created "2022-10-02" @default.
- W4299497589 creator A5033618340 @default.
- W4299497589 date "2014-11-12" @default.
- W4299497589 modified "2023-09-30" @default.
- W4299497589 title "Local cohomological properties of homogeneous ANR compacta" @default.
- W4299497589 doi "https://doi.org/10.48550/arxiv.1411.3422" @default.
- W4299497589 hasPublicationYear "2014" @default.
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