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Publication detail
KOVÁR, M.
Original Title
The de Groot dual for topological systems and locales
Type
conference paper
Language
English
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?
Key words in English
saturated set, dual topology, compactness operator
Authors
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
Pages to
10
Pages count
BibTex
@inproceedings{BUT11712, author="Martin {Kovár}", title="The de Groot dual for topological systems and locales", booktitle="3. mezinárodní matematický workshop", year="2004", volume="3", number="11", pages="10", publisher="Fakulta stavební Vysokého učení technického v Brně", address="Brno, Česká republika", isbn="80-214-2741-8" }