Ramseyan ultrafilters
| dc.creator | Halbeisen, Lorenz | |
| dc.date | 2001-09-16 | |
| dc.date.accessioned | 2026-07-07T04:43:23Z | |
| dc.date.available | 2026-07-07T04:43:23Z | |
| dc.description | We investigate families of partitions of omega which are related to special coideals, so-called happy families, and give a dual form of Ramsey ultrafilters in terms of partitions. The combinatorial properties of these partition-ultrafilters, which we call Ramseyan ultrafilters, are similar to those of Ramsey ultrafilters. For example it will be shown that dual Mathias forcing restricted to a Ramseyan ultrafilter has the same features as Mathias forcing restricted to a Ramsey ultrafilter. Further we introduce an ordering on the set of partition-filters and consider the dual form of some cardinal characteristics of the continuum. | |
| dc.identifier | https://arxiv.org/abs/math/0109102 | |
| dc.identifier | http://arxiv.org/abs/math/0109102 | |
| dc.identifier | Fundamenta Mathematicae 169 (2001) 233-248 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62202 | |
| dc.subject | Logic | |
| dc.subject | 05D05; 05D10; 03E05; 03E40; 03E17; 03E35 | |
| dc.title | Ramseyan ultrafilters | |
| dc.type | text |