-closed sets in biclosure spaces

Chawalit Boonpok

Acta Mathematica Universitatis Ostraviensis (2009)

  • Volume: 17, Issue: 1, page 51-66
  • ISSN: 1804-1388

Abstract

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In the present paper, we introduce and study the concept of -closed sets in biclosure spaces and investigate its behavior. We also introduce and study the concept of -continuous maps.

How to cite

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Boonpok, Chawalit. "$\partial $-closed sets in biclosure spaces." Acta Mathematica Universitatis Ostraviensis 17.1 (2009): 51-66. <http://eudml.org/doc/35197>.

@article{Boonpok2009,
abstract = {In the present paper, we introduce and study the concept of $\partial $-closed sets in biclosure spaces and investigate its behavior. We also introduce and study the concept of $\partial $-continuous maps.},
author = {Boonpok, Chawalit},
journal = {Acta Mathematica Universitatis Ostraviensis},
keywords = {closure operator; closure space; biclosure space; $\partial $-closed set; $\partial $-continuous map; closure operator; closure space; biclosure space; -closed set; -continuous map},
language = {eng},
number = {1},
pages = {51-66},
publisher = {University of Ostrava},
title = {$\partial $-closed sets in biclosure spaces},
url = {http://eudml.org/doc/35197},
volume = {17},
year = {2009},
}

TY - JOUR
AU - Boonpok, Chawalit
TI - $\partial $-closed sets in biclosure spaces
JO - Acta Mathematica Universitatis Ostraviensis
PY - 2009
PB - University of Ostrava
VL - 17
IS - 1
SP - 51
EP - 66
AB - In the present paper, we introduce and study the concept of $\partial $-closed sets in biclosure spaces and investigate its behavior. We also introduce and study the concept of $\partial $-continuous maps.
LA - eng
KW - closure operator; closure space; biclosure space; $\partial $-closed set; $\partial $-continuous map; closure operator; closure space; biclosure space; -closed set; -continuous map
UR - http://eudml.org/doc/35197
ER -

References

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  1. Čech, E., Topological Spaces, Topological Papers of Eduard Čech, Academia, Prague (1968), 436–472 (1968) 
  2. Chvalina, J., On homeomorphic topologies and equivalent set-systems, Arch. Math. 2, Scripta Fac. Sci. Nat. UJEP Brunensis, XII (1976), 107–116 (1976) Zbl0349.54002MR0438267
  3. Chvalina, J., Stackbases in power sets of neighbourhood spaces preserving the continuity of mappings, Arch. Math. 2, Scripta Fac. Sci. Nat. UJEP Brunensis, XVII (1981), 81–86 (1981) Zbl0478.54001MR0673249
  4. Dujunji, J., Topology, Allyn and Bacon, Boston, 1966 (1966) MR0193606
  5. Gupta, M. K., Singh, Rupen Pratap, On fuzzy pairwise s-continuous and fuzzy pairwise s-open mapping, Int. J. Pure & Appl. Math. Sci. 1 (2004), 101–109 (2004) 
  6. Kelly, K. C., Bitopological spaces, Pro. London Math. Soc. 3(13) (1969), 71–79 (1969) MR0143169
  7. Noiri, T., Popa, V., Some properties of weakly open functions in bitopological spaces, Novi Sad J. Math. 36 (1) (2006), 47–54 (2006) Zbl1164.54366MR2301925
  8. Sen, S. K., Mukherjee, M. N., On extension of pairwise -continuous maps, Internat. J. Math. Sci. 19 (1) (1966), 53–56 (1966) MR1361976
  9. Skula, L., Systeme von stetigen abbildungen, Czech. Math. J., 17 (92) (1967), 45–52 (1967) Zbl0173.24803MR0206917
  10. Šlapal, J., 10.1016/S0304-3975(02)00708-9, Theoret. Comput. Sci., 305 (2003), 457–471 (2003) Zbl1081.68111MR2013581DOI10.1016/S0304-3975(02)00708-9

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