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Extension property and ANR-systems

By Michael Zarichnyi

Abstract

AbstractThe Kuratowski notation YτK means that every map g:A→K defined on a closed subset A of a space Y can be extended to a map ḡ:Y→K. We define the extension property YτS, where S is an ANR-system. We investigate some properties of the relation YτS. In particular, the sum theorem is proved for the class of spaces Y such that YτS. The relation YτS can be used for the definition of the counterpart of the Dranishnikov extension dimension

Publisher: Elsevier Science B.V.
Year: 2000
DOI identifier: 10.1016/S0166-8641(99)00094-2
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