On relatively analytic and Borel subsets
| dc.creator | Miller, Arnold W. | |
| dc.date | 2003-05-01 | |
| dc.date.accessioned | 2026-07-07T04:57:42Z | |
| dc.date.available | 2026-07-07T04:57:42Z | |
| dc.description | Define z to be the smallest cardinality of a function f:X->Y with X and Y sets of reals such that there is no Borel function g extending f. In this paper we prove that it is relatively consistent with ZFC to have b<z where b is, as usual, smallest cardinality of an unbounded family in w^w. This answers a question raised by Zapletal. We also show that it is relatively consistent with ZFC that there exists a set of reals X such that the Borel order of X is bounded but there exists a relatively analytic subset of X which is not relatively coanalytic. This answers a question of Mauldin. | |
| dc.description | LaTeX2e 10 pages available at http://www.math.wisc.edu/~miller/res/index.html | |
| dc.identifier | https://arxiv.org/abs/math/0305036 | |
| dc.identifier | http://arxiv.org/abs/math/0305036 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67348 | |
| dc.subject | Logic | |
| dc.subject | 03E35; 03E17; 03E15 | |
| dc.title | On relatively analytic and Borel subsets | |
| dc.type | text |