Publication result detail

On dualizations of topological systems

KOVÁR, M.

Original Title

On dualizations of topological systems

English Title

On dualizations of topological systems

Type

Paper in proceedings (conference paper)

Original Abstract

In this paper, we will recapitulate the author's general solution of Problem 540 and its main principles and methods. We will ask what happens with the dualizations if we leave the realm of spatiality. We will try to define and study some compatible constructions of dualization of topological systems, locales and the similar structures, where the points are compact saturated sets and the sets of opens are closed under directed joins and finite meets. Finaly, we will mention some (unsolved) problems.

English abstract

In this paper, we will recapitulate the author's general solution of Problem 540 and its main principles and methods. We will ask what happens with the dualizations if we leave the realm of spatiality. We will try to define and study some compatible constructions of dualization of topological systems, locales and the similar structures, where the points are compact saturated sets and the sets of opens are closed under directed joins and finite meets. Finaly, we will mention some (unsolved) problems.

Key words in English

compact saturated set, dual topology, topological system, frame, locale, directly complete semilattice

Authors

KOVÁR, M.

RIV year

2011

Released

03.04.2002

Publisher

University of Padova and University of Venezia

Location

Venezia (Venice, Benátky), Itálie

Book

Abstracts of the Second Workshop on Formal Topology

Pages from

4

Pages count

2

BibTex

@inproceedings{BUT5183,
  author="Martin {Kovár}",
  title="On dualizations of topological systems",
  booktitle="Abstracts of the Second Workshop on Formal Topology",
  year="2002",
  number="1",
  pages="2",
  publisher="University of Padova and University of Venezia",
  address="Venezia (Venice, Benátky), Itálie"
}