Semi-open sets in biclosure spaces
Jeeranunt Khampakdee ; Chawalit Boonpok
Discussiones Mathematicae - General Algebra and Applications, Tome 29 (2009), p. 181-201 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2009-01-01
EUDML-ID : urn:eudml:doc:276910 
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1157,
     author = {Jeeranunt Khampakdee and Chawalit Boonpok},
     title = {Semi-open sets in biclosure spaces},
     journal = {Discussiones Mathematicae - General Algebra and Applications},
     volume = {29},
     year = {2009},
     pages = {181-201},
     zbl = {1197.54010},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1157}
}

Jeeranunt Khampakdee; Chawalit Boonpok. Semi-open sets in biclosure spaces. Discussiones Mathematicae - General Algebra and Applications, Tome 29 (2009) pp. 181-201. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgaa_1157/

[000] [1] J.M. Aarts and M. Mršević, A bitopological view on cocompact extensions, Topol. Appl. 83 (1991), 1-16.

[001] [2] C. Boonpok and J. Khampakdee, Generalized closed sets in biclosure spaces, to appear. | Zbl 1197.54010

[002] [3] E. Čech, Topological spaces, (revised by Z. Frolík, M. Katětov), Academia, Prague 1966.

[003] [4] E. Čech, Topological spaces, Topological papers of Eduard Čech, Academia, Prague (1968), 436-472.

[004] [5] J. Chvalina, On homeomorphic topologies and equivalent set-systems, Arch. Math. Scripta Fac. Sci. Nat. UJEP Brunensis, XII 2 (1976), 107-116. | Zbl 0349.54002

[005] [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. | Zbl 0478.54001

[006] [7] J. Deak, On bitopological spaces, I, Stud. Sci. Math. Hungar. 25 (1990), 457-481. | Zbl 0754.54020

[007] [8] B. Dvalishvili, On some bitopological applications, Mat.Vesn. 42 (1990), 155-165. | Zbl 0757.54008

[008] [9] J. Khampakdee, Semi-open sets in closure spaces, to appear. | Zbl 1314.54002

[009] [10] J.C. Kelly, Bitopological spaces, Proc. London Math. Soc. 3 (13) (1969), 71-79.

[010] [11] N. Levine, Semi-open sets and semi-continuity in topological spaces, Amer. Math. Monthly 70 (1963), 36-41. | Zbl 0113.16304

[011] [12] J. Šlapal, Closure operations for digital topology, Theoret. Comput. Sci. 305 (2003), 457-471. | Zbl 1081.68111