Generic left-separated spaces and calibers
| dc.creator | Juhász, Istvan | |
| dc.creator | Shelah, Saharon | |
| dc.date | 2002-12-02 | |
| dc.date.accessioned | 2026-07-07T04:53:28Z | |
| dc.date.available | 2026-07-07T04:53:28Z | |
| dc.description | We use a natural forcing to construct a left-separated topology on an arbitrary cardinal kappa. The resulting left-separated space X_kappa is also 0-dimensional T_2, hereditarily Lindelof, and countably tight. Moreover if kappa is regular then d(X_kappa)= kappa, hence kappa is not a caliber of X_kappa, while all other uncountable regular cardinals are. We also prove it consistent that for every countable set A of uncountable regular cardinals there is a hereditarily Lindelof T_3 space X such that rho=cf(rho)>omega is a caliber of X exactly if rho not in A. | |
| dc.identifier | https://arxiv.org/abs/math/0212027 | |
| dc.identifier | http://arxiv.org/abs/math/0212027 | |
| dc.identifier | Topology Appl. 132 No. 2 (2003) 103--108 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/65862 | |
| dc.subject | Logic | |
| dc.subject | General Topology | |
| dc.title | Generic left-separated spaces and calibers | |
| dc.type | text |