Hechler's theorem for the null ideal
| dc.creator | Burke, Maxim R. | |
| dc.creator | Kada, Masaru | |
| dc.date | 2002-11-15 | |
| dc.date | 2004-02-22 | |
| dc.date.accessioned | 2026-07-07T04:52:58Z | |
| dc.date.available | 2026-07-07T04:52:58Z | |
| dc.description | We prove the following theorem: For a partially ordered set Q such that every countable subset has a strict upper bound, there is a forcing notion satisfying ccc such that, in the forcing model, there is a basis of the null ideal of the real line which is order-isomorphic to Q with respect to set-inclusion. This is a variation of Hechler's classical result in the theory of forcing, and the statement of the theorem for the meager ideal has been already proved by Bartoszynski and the author. | |
| dc.description | v8: Minor corrections | |
| dc.identifier | https://arxiv.org/abs/math/0211244 | |
| dc.identifier | http://arxiv.org/abs/math/0211244 | |
| dc.identifier | Arch. Math. Logic, Vol. 43(2004), pp. 703--722. | |
| dc.identifier | doi:10.1007/s00153-004-0224-4 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65674 | |
| dc.subject | Logic | |
| dc.subject | 03E35; 03E17 | |
| dc.title | Hechler's theorem for the null ideal | |
| dc.type | text |