Extension property and ANR-systems

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

Download PDF:
_{Sorry, we are unable to provide the full text but you may find it at the following location(s):}

https://s3-eu-west-1.amazonaws... (external link)

https://s3.amazonaws.com/prod-... (external link)