On the ideal $(v^0)$
| dc.creator | Kalemba, Piotr | |
| dc.creator | Plewik, Szymon | |
| dc.creator | Wojciechowska, Anna | |
| dc.date | 2007-09-19 | |
| dc.date | 2008-03-03 | |
| dc.date.accessioned | 2026-07-07T09:23:58Z | |
| dc.date.available | 2026-07-07T09:23:58Z | |
| dc.description | The $σ$-ideal $(v^0)$ is associated with the Silver forcing, see \cite{bre}. Also, it constitutes the family of all completely doughnut null sets, see \cite{hal}. We introduce segments and $*$-segments 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 (\frak c), r\} $. The hypothesis $h=ω_1$ implies that $(v^0)$ has the ideal type $(\frak c, ω_1,\frak c)$. | |
| dc.description | Accepted for publication in CEJM | |
| dc.identifier | https://arxiv.org/abs/0709.3016 | |
| dc.identifier | http://arxiv.org/abs/0709.3016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/155929 | |
| dc.subject | Logic | |
| dc.subject | Combinatorics | |
| dc.subject | General Topology | |
| dc.subject | 03E35, 03E50, 26A03, 28A05, 54A10 | |
| dc.title | On the ideal $(v^0)$ | |
| dc.type | text |