A tall space with small bottom
| dc.creator | Juhász, Istvan | |
| dc.creator | Shelah, Saharon | |
| dc.creator | Soukup, Lajos | |
| dc.creator | Szentmiklóssy, Zoltan | |
| dc.date | 2001-04-19 | |
| dc.date.accessioned | 2026-07-07T04:41:23Z | |
| dc.date.available | 2026-07-07T04:41:23Z | |
| dc.description | We introduce a general method of constructing locally compact scattered spaces from certain families of sets and then, with the help of this method, we prove that if kappa^{<kappa}=kappa then there is such a space of height kappa^+ with only kappa many isolated points. This implies that there is a locally compact scattered space of height omega_2 with omega_1 isolated points in ZFC, solving an old problem of the first author. | |
| dc.identifier | https://arxiv.org/abs/math/0104198 | |
| dc.identifier | http://arxiv.org/abs/math/0104198 | |
| dc.identifier | Proc. Amer. Math. Soc. 131 No. 6 (2003) 1907--1916 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61339 | |
| dc.subject | Logic | |
| dc.subject | General Topology | |
| dc.title | A tall space with small bottom | |
| dc.type | text |