Semi-open sets in biclosure spaces

Jeeranunt Khampakdee; Chawalit Boonpok

Discussiones Mathematicae - General Algebra and Applications (2009)

  • Volume: 29, Issue: 2, page 181-201
  • ISSN: 1509-9415

Abstract

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The aim of this paper is to introduce and study semi-open sets in biclosure spaces. We define semi-continuous maps and semi-irresolute maps and investigate their behavior. Moreover, we introduce pre-semi-open maps in biclosure spaces and study some of their properties.

How to cite

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Jeeranunt Khampakdee, and Chawalit Boonpok. "Semi-open sets in biclosure spaces." Discussiones Mathematicae - General Algebra and Applications 29.2 (2009): 181-201. <http://eudml.org/doc/276910>.

@article{JeeranuntKhampakdee2009,
abstract = {The aim of this paper is to introduce and study semi-open sets in biclosure spaces. We define semi-continuous maps and semi-irresolute maps and investigate their behavior. Moreover, we introduce pre-semi-open maps in biclosure spaces and study some of their properties.},
author = {Jeeranunt Khampakdee, Chawalit Boonpok},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {closure operator; biclosure space; semi-open set; semi-continuous map; semi-irresolute map; pre semi-open map},
language = {eng},
number = {2},
pages = {181-201},
title = {Semi-open sets in biclosure spaces},
url = {http://eudml.org/doc/276910},
volume = {29},
year = {2009},
}

TY - JOUR
AU - Jeeranunt Khampakdee
AU - Chawalit Boonpok
TI - Semi-open sets in biclosure spaces
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2009
VL - 29
IS - 2
SP - 181
EP - 201
AB - The aim of this paper is to introduce and study semi-open sets in biclosure spaces. We define semi-continuous maps and semi-irresolute maps and investigate their behavior. Moreover, we introduce pre-semi-open maps in biclosure spaces and study some of their properties.
LA - eng
KW - closure operator; biclosure space; semi-open set; semi-continuous map; semi-irresolute map; pre semi-open map
UR - http://eudml.org/doc/276910
ER -

References

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  2. [2] C. Boonpok and J. Khampakdee, Generalized closed sets in biclosure spaces, to appear. Zbl1197.54010
  3. [3] E. Čech, Topological spaces, (revised by Z. Frolík, M. Katětov), Academia, Prague 1966. 
  4. [4] E. Čech, Topological spaces, Topological papers of Eduard Čech, Academia, Prague (1968), 436-472. 
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  6. [6] J. Chvalina, Stackbases in power sets of neighbourhood spaces preserving the continuity of mappings, Arch. Math., Scripta Fac. Sci. Nat. UJEP Brunensis, XVII 2 (1981), 81-86. Zbl0478.54001
  7. [7] J. Deak, On bitopological spaces, I, Stud. Sci. Math. Hungar. 25 (1990), 457-481. Zbl0754.54020
  8. [8] B. Dvalishvili, On some bitopological applications, Mat.Vesn. 42 (1990), 155-165. Zbl0757.54008
  9. [9] J. Khampakdee, Semi-open sets in closure spaces, to appear. Zbl1314.54002
  10. [10] J.C. Kelly, Bitopological spaces, Proc. London Math. Soc. 3 (13) (1969), 71-79. 
  11. [11] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36-41. Zbl0113.16304
  12. [12] J. Šlapal, Closure operations for digital topology, Theoret. Comput. Sci. 305 (2003), 457-471. Zbl1081.68111

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