On some problems in general topology
| dc.creator | Shelah, Saharon | |
| dc.date | 2007-08-15 | |
| dc.date.accessioned | 2026-07-07T08:23:42Z | |
| dc.date.available | 2026-07-07T08:23:42Z | |
| dc.description | We prove that Arhangelskii's problem has a consistent positive answer: if V\models CH, then for some aleph_1-complete aleph_2-c.c. forcing notion P of cardinality aleph_2 we have that P forces ``CH and there is a Lindelof regular topological space of size aleph_2 with clopen basis with every point of pseudo-character aleph_0 (i.e. each singleton is the intersection of countably many open sets)''. Also, we prove the consistency of: CH+ 2^{aleph_1} > \aleph_2 + "there is no space as above with aleph_2 points" (starting with a weakly compact cardinal). | |
| dc.identifier | https://arxiv.org/abs/0708.1981 | |
| dc.identifier | http://arxiv.org/abs/0708.1981 | |
| dc.identifier | In: Set Theory, Boise ID, 1992-1994, Contemporary Mathematics, vol 192, p. 91-101 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/136096 | |
| dc.subject | Logic | |
| dc.title | On some problems in general topology | |
| dc.type | text |