Skeletally Dugundji spaces-Reference-Cited by-同舟云学术

Skeletally Dugundji spaces

Published:2013-01-01 Issue:11 Volume:11 Page:
ISSN:2391-5455
Container-title:Open Mathematics
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Author:

Kucharski Andrzej,Plewik Szymon,Valov Vesko

Abstract

AbstractWe introduce and investigate the class of skeletally Dugundji spaces as a skeletal analogue of Dugundji space. Our main result states that the following conditions are equivalent for a given space X: (i) X is skeletally Dugundji; (ii) every compactification of X is co-absolute to a Dugundji space; (iii) every C*-embedding of the absolute p(X) in another space is strongly π-regular; (iv) X has a multiplicative lattice in the sense of Shchepin [Shchepin E.V., Topology of limit spaces with uncountable inverse spectra, Uspekhi Mat. Nauk, 1976, 31(5), 191–226 (in Russian)] consisting of skeletal maps.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.2478/s11533-013-0296-7.pdf

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