Category analog of sup-measurability problem
| dc.creator | Ciesielski, Krzysztof | |
| dc.creator | Shelah, Saharon | |
| dc.date | 1999-05-24 | |
| dc.date.accessioned | 2026-07-07T05:29:12Z | |
| dc.date.available | 2026-07-07T05:29:12Z | |
| dc.description | A function F:R^2->R is sup-measurable if F_f:R->R given by F_f(x)=F(x,f(x)), x in R, is measurable for each measurable function f:R->R. It is known that under different set theoretical assumptions, including CH, there are sup-measurable non-measurable functions, as well as their category analog. In this paper we will show that the existence of category analog of sup-measurable non-measurable functions is independent of ZFC. A similar result for the original measurable case is a subject of a work in prepartion by Roslanowski and Shelah. | |
| dc.identifier | https://arxiv.org/abs/math/9905147 | |
| dc.identifier | http://arxiv.org/abs/math/9905147 | |
| dc.identifier | J. Appl. Anal. 6 No. 2 (2000) 159--172 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78549 | |
| dc.subject | Logic | |
| dc.title | Category analog of sup-measurability problem | |
| dc.type | text |