Publication detail

On dualizations of topological systems

KOVÁR, M.

Original Title

On dualizations of topological systems

English Title

On dualizations of topological systems

Type

conference paper

Language

en

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.

RIV year

2002

Released

03.04.2002

Publisher

University of Padova and University of Venezia

Location

Venezia (Venice, Benátky), Itálie

Pages from

4

Pages to

5

Pages count

2

Documents

BibTex


@inproceedings{BUT5183,
  author="Martin {Kovár}",
  title="On dualizations of topological systems",
  annote="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.

",
  address="University of Padova and University of Venezia",
  booktitle="Abstracts of the Second Workshop on Formal Topology",
  chapter="5183",
  institution="University of Padova and University of Venezia",
  year="2002",
  month="april",
  pages="4",
  publisher="University of Padova and University of Venezia",
  type="conference paper"
}