License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/DagSemProc.04351.17
URN: urn:nbn:de:0030-drops-1182
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2005/118/
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Kovar, Martin

On Maximality of Compact Topologies

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04351.KovarMartin1.Paper.118.pdf (0.2 MB)

Abstract

Using some advanced properties of the de Groot dual and some generalization of the Hofmann-Mislove theorem, we solve in the positive the question of D. E. Cameron: Is every compact topology contained in some maximal compact topology?

BibTeX - Entry

@InProceedings{kovar:DagSemProc.04351.17,
  author =	{Kovar, Martin},
  title =	{{On Maximality of Compact Topologies}},
  booktitle =	{Spatial Representation: Discrete vs. Continuous Computational Models},
  pages =	{1--10},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2005},
  volume =	{4351},
  editor =	{Ralph Kopperman and Michael B. Smyth and Dieter Spreen and Julian Webster},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2005/118},
  URN =		{urn:nbn:de:0030-drops-1182},
  doi =		{10.4230/DagSemProc.04351.17},
  annote =	{Keywords: de Groot dual , compact saturated set , wide Scott open filter , maximal compact topology}
}

Keywords: de Groot dual , compact saturated set , wide Scott open filter , maximal compact topology
Collection: 04351 - Spatial Representation: Discrete vs. Continuous Computational Models
Issue Date: 2005
Date of publication: 19.04.2005

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