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On the ideal (v 0)

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Kalemba P., Plewik S., Wojciechowska A.

Open Mathematics

2008

tom 6

nr 2

218-227

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).

Ograniczanie wyników

1 Open Mathematics

1 Kalemba P.

1 Plewik S.

1 Wojciechowska A.

1 2008

Wyniki wyszukiwania

On the ideal (v 0)