We prove that a map between two realcompact spaces is skeletal if and only if it is homeomorphic to the limit map of a skeletal morphism between ω-spectra with surjective limit projections.
@article{bwmeta1.element.doi-10_2478_s11533-012-0058-y,
author = {Taras Banakh and Andrzej Kucharski and Marta Martynenko},
title = {A spectral characterization of skeletal maps},
journal = {Open Mathematics},
volume = {11},
year = {2013},
pages = {161-169},
zbl = {1269.54005},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0058-y}
}
Taras Banakh; Andrzej Kucharski; Marta Martynenko. A spectral characterization of skeletal maps. Open Mathematics, Tome 11 (2013) pp. 161-169. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-012-0058-y/
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