What makes a space have large weight?
| dc.creator | Juhász, I. | |
| dc.creator | Soukup, Lajos | |
| dc.creator | Szentmiklóssy, Z. | |
| dc.date | 1994-01-11 | |
| dc.date.accessioned | 2026-07-07T09:15:02Z | |
| dc.date.available | 2026-07-07T09:15:02Z | |
| dc.description | We formulate several conditions (two of them are necessary and sufficient) which imply that a space of small character has large weight. In section 3 we construct a ZFC example of a first countable 0-dimensional space X of size 2^omega with w(X)=2^omega and nw(X)=omega, we show that CH implies the existence of a 0-dimensional space Y of size omega_1 with w(Y)=nw(Y)=omega_1 and chi(Y)=R(Y)=omega, and we prove that it is consistent that 2^omega is as large as you wish and there is a 0-dimensional space Z of size 2^omega such that w(Z)=nw(Z)=2^omega but chi(Z)=R(Z^omega)=omega. | |
| dc.identifier | https://arxiv.org/abs/math/9401203 | |
| dc.identifier | http://arxiv.org/abs/math/9401203 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/152887 | |
| dc.subject | Logic | |
| dc.title | What makes a space have large weight? | |
| dc.type | text |