Countable products of finite discrete spaces with more than one point and ideals generated by Marczewski-Burstin bases (assigned to trimmed trees) are examined, using machinery of base tree in the sense of B. Balcar and P. Simon. Applying Kulpa-Szymanski Theorem, we prove that the covering number equals to the additivity or the additivity plus for each of the ideals considered.
@article{bwmeta1.element.doi-10_2478_s11533-010-0074-8,
author = {Piotr Kalemba and Szymon Plewik},
title = {Ideals which generalize (v 0)},
journal = {Open Mathematics},
volume = {8},
year = {2010},
pages = {1016-1025},
zbl = {1222.03050},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0074-8}
}
Piotr Kalemba; Szymon Plewik. Ideals which generalize (v 0). Open Mathematics, Tome 8 (2010) pp. 1016-1025. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-010-0074-8/
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