Projective $π$-character bounds the order of a $π$-base
| dc.creator | Juhasz, Istvan | |
| dc.creator | Szentmiklossy, Zoltan | |
| dc.date | 2007-03-28 | |
| dc.date.accessioned | 2026-07-07T07:54:14Z | |
| dc.date.available | 2026-07-07T07:54:14Z | |
| dc.description | All spaces below are Tychonov. We define the projective pi-character p(X) of a space X as the supremum of the values $πχ(Y)$ where Y ranges over all continuous images of X. Our main result says that every space X has a pi-base whose order is at most p(X), that is every point in X is contained in at most p(X)-many members of the pi-base. Since p(X) is at most t(X) for compact X, this provides a significant generalization of a celebrated result of Shapirovskii. | |
| dc.description | 7 pages | |
| dc.identifier | https://arxiv.org/abs/math/0703835 | |
| dc.identifier | http://arxiv.org/abs/math/0703835 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/126529 | |
| dc.subject | General Topology | |
| dc.subject | 54A25 | |
| dc.title | Projective $π$-character bounds the order of a $π$-base | |
| dc.type | text |