An application of Shoenfield's absoluteness theorem to the theory of uniform distribution
| dc.creator | Goldstern, Martin | |
| dc.date | 1993-08-06 | |
| dc.date.accessioned | 2026-07-07T09:14:56Z | |
| dc.date.available | 2026-07-07T09:14:56Z | |
| dc.description | If (B_x: x in N) is a Borel family of sets, indexed by the Baire space N = omega^omega, all B_x have measure zero, and the family is increasing, then the union of all B_x also has measure zero. We give two proofs of this theorem: one in the language of set theory, using Shoenfield's theorem on Sigma-1-2 sets, the other in the language of probability theory, using von Neumann's selection theorem, and we apply the theorem to a question on completely uniformly distributed sequences. | |
| dc.identifier | https://arxiv.org/abs/math/9308201 | |
| dc.identifier | http://arxiv.org/abs/math/9308201 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152856 | |
| dc.subject | Logic | |
| dc.title | An application of Shoenfield's absoluteness theorem to the theory of uniform distribution | |
| dc.type | text |