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Extension property and ANR-systems

✍ Scribed by Michael Zarichnyi

Publisher: Elsevier Science
Year: 2000
Tongue: English
Weight: 93 KB
Volume: 107
Category: Article
ISSN: 0166-8641
DOI: 10.1016/s0166-8641(99)00094-2

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✦ Synopsis

The Kuratowski notation Y τ K 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 Y τ S, where S is an ANR-system. We investigate some properties of the relation Y τ S. In particular, the sum theorem is proved for the class of spaces Y such that Y τ S. The relation Y τ S can be used for the definition of the counterpart of the Dranishnikov extension dimension.

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