Borel hierarchies in infinite products of Polish spaces
| dc.creator | Barua, Rana | |
| dc.creator | Maitra, Ashok | |
| dc.date | 2007-07-13 | |
| dc.date.accessioned | 2026-07-07T08:17:34Z | |
| dc.date.available | 2026-07-07T08:17:34Z | |
| dc.description | Let H be a product of countably infinite number of copies of an uncountable Polish space X. Let $Σ_ξ$ $(\bar Σ_ξ)$ be the class of Borel sets of additive class ξfor the product of copies of the discrete topology on X (the Polish topology on X), and let ${\cal B} = \cup_{ξ< ω_1} \barΣ_ξ$. We prove in the Lévy--Solovay model that \barΣ_ξ=Σ_ξ\cap {\cal B} for $1 \leq ξ< ω_1$. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/0707.1967 | |
| dc.identifier | http://arxiv.org/abs/0707.1967 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/134138 | |
| dc.subject | Logic | |
| dc.title | Borel hierarchies in infinite products of Polish spaces | |
| dc.type | text |