The σ-ideal (v 0) is associated with the Silver forcing, see [5]. Also, it constitutes the family of all completely doughnut null sets, see [9]. We introduce segment topologies to state some resemblances of (v 0) to the family of Ramsey null sets. To describe add(v 0) we adopt a proof of Base Matrix Lemma. Consistent results are stated, too. Halbeisen’s conjecture cov(v 0) = add(v 0) is confirmed under the hypothesis t = min{cf(c), r}. The hypothesis cov(v 0) = ω 1 implies that (v 0) has the ideal type (c, ω 1, c).
@article{bwmeta1.element.doi-10_2478_s11533-008-0021-0,
author = {Piotr Kalemba and Szymon Plewik and Anna Wojciechowska},
title = {On the ideal (v 0)},
journal = {Open Mathematics},
volume = {6},
year = {2008},
pages = {218-227},
zbl = {1151.03027},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_s11533-008-0021-0}
}
Piotr Kalemba; Szymon Plewik; Anna Wojciechowska. On the ideal (v 0). Open Mathematics, Tome 6 (2008) pp. 218-227. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_s11533-008-0021-0/
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