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URN: urn:nbn:de:0030-drops-1182
URL: http://drops.dagstuhl.de/opus/volltexte/2005/118/

Kovar, Martin

On Maximality of Compact Topologies

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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:DSP:2005:118,
  author =	{Martin Kovar},
  title =	{On Maximality of Compact Topologies},
  booktitle =	{Spatial Representation: Discrete vs. Continuous Computational Models},
  year =	{2005},
  editor =	{Ralph Kopperman and Michael B. Smyth and Dieter Spreen and Julian Webster},
  number =	{04351},
  series =	{Dagstuhl Seminar Proceedings},
  ISSN =	{1862-4405},
  publisher =	{Internationales Begegnungs- und Forschungszentrum f{\"u}r Informatik (IBFI), Schloss Dagstuhl, Germany},
  address =	{Dagstuhl, Germany},
  URL =		{http://drops.dagstuhl.de/opus/volltexte/2005/118},
  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
Seminar: 04351 - Spatial Representation: Discrete vs. Continuous Computational Models
Issue date: 2005
Date of publication: 19.04.2005


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