Publication detail

The de Groot dual for topological systems and locales

KOVÁR, M.

Original Title

The de Groot dual for topological systems and locales

English Title

The de Groot dual for topological systems and locales

Type

conference paper

Language

en

Original Abstract

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?

English abstract

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?

RIV year

2004

Released

11.11.2004

Publisher

Fakulta stavební Vysokého učení technického v Brně

Location

Brno, Česká republika

ISBN

80-214-2741-8

Book

3. mezinárodní matematický workshop

Edition number

1

Pages from

1

Pages to

10

Pages count

10

Documents

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"
}