On Maximality of Compact Topologies

Author Martin Kovar



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Martin Kovar

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Martin Kovar. On Maximality of Compact Topologies. In Spatial Representation: Discrete vs. Continuous Computational Models. Dagstuhl Seminar Proceedings, Volume 4351, pp. 1-10, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2005)
https://doi.org/10.4230/DagSemProc.04351.17

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?
Keywords
  • de Groot dual
  • compact saturated set
  • wide Scott open filter
  • maximal compact topology

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