A nonhereditary Borel-cover gamma-set
| dc.creator | Miller, Arnold W. | |
| dc.date | 2003-04-25 | |
| dc.date.accessioned | 2026-07-07T04:57:25Z | |
| dc.date.available | 2026-07-07T04:57:25Z | |
| dc.description | In this paper we prove that if there is a Borel-cover gamma-set of cardinality the continuum, then there is one which is not hereditary. A set of reals X is a Borel-cover gamma-set iff for every countable family of Borel sets which is an omega-cover contains a gamma-cover. This is also denoted S_1(Borel_omega, Borel_gamma). This result partially answers a question of Bartoszynski and Tsaban. Tsaban points out that it also gives an example of set which is both a gamma-set and sigma-set but is not hereditarily gamma, which answers a question of Bukovsky, Reclaw, and Repicky. | |
| dc.description | 7 pages LaTeX2e | |
| dc.identifier | https://arxiv.org/abs/math/0304414 | |
| dc.identifier | http://arxiv.org/abs/math/0304414 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67256 | |
| dc.subject | Logic | |
| dc.subject | 03E50;03E17 | |
| dc.title | A nonhereditary Borel-cover gamma-set | |
| dc.type | text |