We study the behaviour of ℵ-compactness, extent and Lindelöf number in lexicographic products of linearly ordered spaces. It is seen, in particular, that for the case that all spaces are bounded all these properties behave very well when taking lexicographic products. We also give characterizations of these notions for generalized ordered spaces.
@article{bwmeta1.element.doi-10_2478_s11533-014-0407-0,
author = {David Buhagiar and Emmanuel Chetcuti and Hans Weber},
title = {$\kappa$-compactness, extent and the Lindel\"of number in LOTS},
journal = {Open Mathematics},
volume = {12},
year = {2014},
pages = {1249-1264},
zbl = {1294.54018},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-014-0407-0}
}
David Buhagiar; Emmanuel Chetcuti; Hans Weber. κ-compactness, extent and the Lindelöf number in LOTS. Open Mathematics, Tome 12 (2014) pp. 1249-1264. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-014-0407-0/
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