Skeletally Dugundji spaces
Andrzej Kucharski; Szymon Plewik; Vesko Valov
Open Mathematics (2013)
- Volume: 11, Issue: 11, page 1949-1959
- ISSN: 2391-5455
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topAndrzej Kucharski, Szymon Plewik, and Vesko Valov. "Skeletally Dugundji spaces." Open Mathematics 11.11 (2013): 1949-1959. <http://eudml.org/doc/269203>.
@article{AndrzejKucharski2013,
abstract = {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.},
author = {Andrzej Kucharski, Szymon Plewik, Vesko Valov},
journal = {Open Mathematics},
keywords = {Absolute; Dugundji spaces; Inverse system; Open maps; Skeletally Dugundji spaces; Skeletal maps; open map; skeletal map; inverse system; Dugundji space; skeletally Dugundji space; absolute},
language = {eng},
number = {11},
pages = {1949-1959},
title = {Skeletally Dugundji spaces},
url = {http://eudml.org/doc/269203},
volume = {11},
year = {2013},
}
TY - JOUR
AU - Andrzej Kucharski
AU - Szymon Plewik
AU - Vesko Valov
TI - Skeletally Dugundji spaces
JO - Open Mathematics
PY - 2013
VL - 11
IS - 11
SP - 1949
EP - 1959
AB - 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.
LA - eng
KW - Absolute; Dugundji spaces; Inverse system; Open maps; Skeletally Dugundji spaces; Skeletal maps; open map; skeletal map; inverse system; Dugundji space; skeletally Dugundji space; absolute
UR - http://eudml.org/doc/269203
ER -
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