On the strength of Hausdorff's gap condition
| dc.creator | Hirschorn, James | |
| dc.date | 2008-06-29 | |
| dc.date.accessioned | 2026-07-07T09:47:23Z | |
| dc.date.available | 2026-07-07T09:47:23Z | |
| dc.description | Hausdorff's gap condition was satisfied by his original 1936 construction of an (omega-1,omega-1) gap in P(N)/Fin. We solve an open problem in determining whether Hausdorff's condition is actually stronger than the more modern indestructibility condition, by constructing an indestructible (omega-1,omega-1) gap not equivalent to any gap satisfying Hausdorff's condition, from uncountably many random reals. | |
| dc.description | 9 pages. Original 2002 version. Article homepage: http://homepage.univie.ac.at/James.Hirschorn/research/Hausdorff.gap/Hausdorff.gap.html | |
| dc.identifier | https://arxiv.org/abs/0806.4732 | |
| dc.identifier | http://arxiv.org/abs/0806.4732 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163857 | |
| dc.subject | Logic | |
| dc.subject | 03E05 (Primary); 03E40, 28E15 (Secondary) | |
| dc.title | On the strength of Hausdorff's gap condition | |
| dc.type | text |