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Extension of mappings of Bing spaces into ANRs

✍ Scribed by Yaki Sternfeld

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
372 KB
Volume
80
Category
Article
ISSN
0166-8641

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✦ Synopsis

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 &+I extends upon X.

Thus for extension of maps in Bing spaces o(K) may replace dim K (since both (i) and (ii) hold for every space X, not just Bing spaces, if dim K < n).

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