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Extension of fundamental mappings

✍ Scribed by S. S. Kotanov

Publisher: SP MAIK Nauka/Interperiodica
Year: 1984
Tongue: English
Weight: 564 KB
Volume: 24
Category: Article
ISSN: 0037-4466
DOI: 10.1007/bf00971550

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An atom is a hereditarily indecomposable continuum. A Bing space is a compacturn in which every subcontinuum is an atom. It is proved that if K is a closed subset of a Bing space X then (i) if a(K) = 0 then every map of K in a connected ANR extends upon X; (ii) if g(K) < n then every map of K in &+