Ultrafilter spaces on the semilattice of partitions
| dc.creator | Halbeisen, Lorenz | |
| dc.creator | Loewe, Benedikt | |
| dc.date | 2001-09-23 | |
| dc.date.accessioned | 2026-07-07T04:43:30Z | |
| dc.date.available | 2026-07-07T04:43:30Z | |
| dc.description | The Stone-Cech compactification of the natural numbers bN, or equivalently, the space of ultrafilters on the subsets of omega, is a well-studied space with interesting properties. If one replaces the subsets of omega by partitions of omega, one can define corresponding, non-homeomorphic spaces of partition ultrafilters. It will be shown that these spaces still have some of the nice properties of bN, even though none is homeomorphic to bN. Further, in a particular space, the minimal height of a tree pi-base and P-points are investigated. | |
| dc.identifier | https://arxiv.org/abs/math/0109176 | |
| dc.identifier | http://arxiv.org/abs/math/0109176 | |
| dc.identifier | Topology and its Applications 115(3) (2001) 317-332 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62250 | |
| dc.subject | Logic | |
| dc.subject | 54A05; 54D80; 54A10; 03E17; 03E35 | |
| dc.title | Ultrafilter spaces on the semilattice of partitions | |
| dc.type | text |