The number of translates of a closed nowhere dense set required to cover a Polish group
| dc.creator | Miller, Arnold W. | |
| dc.creator | Steprans, Juris | |
| dc.date | 2004-09-07 | |
| dc.date.accessioned | 2026-07-07T05:11:53Z | |
| dc.date.available | 2026-07-07T05:11:53Z | |
| dc.description | For a Polish group G let cov_G be the minimal number of translates of a fixed closed nowhere dense subset of G required to cover G. For many locally compact G this cardinal is known to be consistently larger than cov(meager) which is the smallest cardinality of a covering of the real line by meagre sets. It is shown that for several non-locally compact groups cov_G=cov(meager). For example the equality holds for the group of permutations of the integers, the additive group of a separable Banach space with an unconditional basis and the group of homeomorphisms of various compact spaces. Most recent version at: www.math.wisc.edu/~miller | |
| dc.description | LaTeX2e 10 pages | |
| dc.identifier | https://arxiv.org/abs/math/0409110 | |
| dc.identifier | http://arxiv.org/abs/math/0409110 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72397 | |
| dc.subject | Logic | |
| dc.subject | 03E17 | |
| dc.title | The number of translates of a closed nowhere dense set required to cover a Polish group | |
| dc.type | text |