∂ -closed sets in biclosure spaces

Chawalit Boonpok

Acta Mathematica Universitatis Ostraviensis (2009)

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

Abstract

top
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

top

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

top
  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 θ -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

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.