There is no categorical metric continuum
| dc.creator | Hart, Klaas Pieter | |
| dc.date | 2005-09-05 | |
| dc.date | 2006-01-16 | |
| dc.date.accessioned | 2026-07-07T06:42:56Z | |
| dc.date.available | 2026-07-07T06:42:56Z | |
| dc.description | We show there is no categorical metric continuum. This means that for every metric continuum X there is another metric continuum Y such that X and Y have (countable) elementarily equivalent bases but X and Y are not homeomorphic. As an application we show that the chainability of the pseudoarc is not a first-order property of its lattice of closed sets. | |
| dc.description | Revision after comments from referee (2006-01-16) | |
| dc.identifier | https://arxiv.org/abs/math/0509099 | |
| dc.identifier | http://arxiv.org/abs/math/0509099 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/102231 | |
| dc.subject | General Topology | |
| dc.subject | Logic | |
| dc.subject | 54F12 (Primary); 03C20, 03C35, 54F50 (Secondary) | |
| dc.title | There is no categorical metric continuum | |
| dc.type | text |