Abstract
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).
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Kalemba, P., Plewik, S. & Wojciechowska, A. On the ideal (v 0). centr.eur.j.math. 6, 218–227 (2008). https://doi.org/10.2478/s11533-008-0021-0
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DOI: https://doi.org/10.2478/s11533-008-0021-0