Detail publikace

The de Groot dual for topological systems and locales

Originální název

The de Groot dual for topological systems and locales

Anglický název

The de Groot dual for topological systems and locales

Jazyk

en

Originální abstrakt

A topology is the de Groot dual of another topology, if it has a closed base consisting of all compact saturated sets. In this paper we extend the de Groot dual also to topological systems and locales. We compare the behavior of this extension with the properties of the de Groot dual of a topological space, and study the similarities as well as the differences. We state a natural open question: For which locales is the extended de Groot dual operator of finite order?

Anglický abstrakt

A topology is the de Groot dual of another topology, if it has a closed base consisting of all compact saturated sets. In this paper we extend the de Groot dual also to topological systems and locales. We compare the behavior of this extension with the properties of the de Groot dual of a topological space, and study the similarities as well as the differences. We state a natural open question: For which locales is the extended de Groot dual operator of finite order?

BibTex


@inproceedings{BUT11712,
  author="Martin {Kovár}",
  title="The de Groot dual for topological systems and locales",
  annote="A topology is the de Groot dual of another topology, if it has a closed base consisting of all compact saturated sets. In this paper we extend the de Groot dual also to topological systems and locales. We compare the behavior of this extension with the properties of the de Groot dual of a topological space, and study the similarities as well as the differences. We state a natural open question: For which locales is the extended de Groot dual operator of finite order?",
  address="Fakulta stavební Vysokého učení  technického v Brně",
  booktitle="3. mezinárodní matematický workshop",
  chapter="11712",
  institution="Fakulta stavební Vysokého učení  technického v Brně",
  number="11",
  year="2004",
  month="november",
  pages="1",
  publisher="Fakulta stavební Vysokého učení  technického v Brně",
  type="conference paper"
}