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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., UMAT (FEEC)
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
Ústav matematiky (UMAT)
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