On squares of spaces and Fsigma-sets
| dc.creator | Miller, Arnold W. | |
| dc.date | 2004-04-22 | |
| dc.date.accessioned | 2026-07-07T05:07:40Z | |
| dc.date.available | 2026-07-07T05:07:40Z | |
| dc.description | We show that the continuum hypothesis implies there exists a Lindelof space X such that X x X is the union of two metrizable subspaces but X is not metrizable. This gives a consistent solution to a problem of Balogh, Gruenhage, and Tkachuk. The main lemma is that assuming the continuum hypothesis there exist disjoint sets of reals X and Y such that X is Borel concentrated on Y, (i.e., for any Borel set B if Y is contained in B then X-B is countable,) but (X x X - diagonal) is relatively Fsigma in (X x X) U (Y x Y). | |
| dc.description | 6 pages | |
| dc.identifier | https://arxiv.org/abs/math/0404421 | |
| dc.identifier | http://arxiv.org/abs/math/0404421 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/70945 | |
| dc.subject | Logic | |
| dc.subject | General Topology | |
| dc.subject | 03E35 54B10 54E35 | |
| dc.title | On squares of spaces and Fsigma-sets | |
| dc.type | text |