Skeletally Dugundji spaces

• Autorzy: Andrzej Kucharski , Szymon Plewik , Vesko Valov
• Języki publikacji: EN

Abstrakty

EN

We 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.

Słowa kluczowe

EN

Absolute; Dugundji spaces; Inverse system; Open maps; Skeletally Dugundji spaces; Skeletal maps

Kategorie tematyczne

• 54C10: Special maps on topological spaces (open, closed, perfect, etc.)
• 54F65: Topological characterizations of particular spaces

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 11
• Strony: 1949-1959

Daty

wydano

2013-11-01

online

2013-08-23

Twórcy

autor

Andrzej Kucharski

• University of Silesia

autor

Szymon Plewik

• University of Silesia

autor

Vesko Valov

• Nipissing University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0296-7