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URN: urn:nbn:de:0030-drops-1208
URL: http://drops.dagstuhl.de/opus/volltexte/2005/120/
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Kovar, Martin

The Hofmann-Mislove Theorem for general topological structures

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Abstract

In this paper we prove a modification of Hofmann-Mislove theorem for a topological structure similar to the minusspaces of de Groot, in which the empty set "need not be open". This will extend, in a slightly relaxed form, the validity of the classical Hofmann-Mislove theorem also to some of those spaces, whose underlying topology need not be (quasi-) sober.

BibTeX - Entry

@InProceedings{kovar:DSP:2005:120,
  author =	{Martin Kovar},
  title =	{The Hofmann-Mislove Theorem for general topological structures},
  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/2005/120},
  annote =	{Keywords: Compact saturated set , Scott open filter , (quasi-) sober space}
}

Keywords: Compact saturated set , Scott open filter , (quasi-) sober space
Seminar: 04351 - Spatial Representation: Discrete vs. Continuous Computational Models
Issue Date: 2005
Date of publication: 22.04.2005


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