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The Quest For de Groot-like Dual of Pretopological Systems With Mathematica as of a Tool of Visualization

CHERNIKAVA, A.; KOVÁR, M. The Quest For de Groot-like Dual of Pretopological Systems With Mathematica as of a Tool of Visualization. In Proceedings - Aplimat 2011. 2011. p. 89-98. ISBN: 978-80-89313-51-8.
Type
conference paper
Language
English
Authors
Chernikava Alena, Mgr., Ph.D.
Kovár Martin, doc. RNDr., Ph.D., UMAT (FEEC)
Abstract

In this paper we study the preframe structure representing the opens of a possible pretopological system and its behavior with respect to the certain de Groot-like dualization construction. We also present a Mathematica 7 compatible package which demonstrates and visualize the problem for the finite posets of opens.

Keywords

Preframe, pretopological system, de Groot-like dual

Published
2011
Pages
89–98
Proceedings
Proceedings - Aplimat 2011
Conference
APLIMAT 2011, 10th International Conference
ISBN
978-80-89313-51-8
BibTeX 
@inproceedings{BUT36849,
  author="Alena {Chernikava} and Martin {Kovár}",
  title="The Quest For de Groot-like Dual of Pretopological Systems With Mathematica as of a Tool of Visualization",
  booktitle="Proceedings - Aplimat 2011",
  year="2011",
  pages="89--98",
  isbn="978-80-89313-51-8"
}
Departments
Department of Mathematics (UMAT)
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