Maximal (sequentially) compact topologies
| dc.creator | Künzi, Hans-Peter A. | |
| dc.creator | van der Zypen, Dominic | |
| dc.date | 2003-06-04 | |
| dc.date.accessioned | 2026-07-07T04:58:35Z | |
| dc.date.available | 2026-07-07T04:58:35Z | |
| dc.description | We revisit the known problem whether each compact topology is contained in a maximal compact topology and collect some partial answers to this question. For instance we show that each compact topology is contained in a compact topology in which convergent sequences have unique limits. We also answer a question of D.E. Cameron by showing that each sequentially compact topology is contained in a maximal sequentially compact topology. We finally observe that each sober compact T_1-topology is contained in a maximal compact topology and that each sober compact T_1-topology which is locally compact or sequential is the infimum of a family of maximal compact topologies. | |
| dc.identifier | https://arxiv.org/abs/math/0306082 | |
| dc.identifier | http://arxiv.org/abs/math/0306082 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67693 | |
| dc.subject | General Topology | |
| dc.subject | 54A10; 54B15; 54D10; 54D30; 54G20 | |
| dc.title | Maximal (sequentially) compact topologies | |
| dc.type | text |