Research Article
BibTex RIS Cite

Year 2021, Volume: 4 Issue: 2, 166 - 171, 31.07.2021

Naime Demirtaş , Orhan Dalkılıç

https://doi.org/10.33773/jum.964785
https://izlik.org/JA84YR43JD

Abstract

References

  • Chandrasekhara Rao. K, Gowri. R, On closure space, Varahmithir Journal of Mathematics Sciences, Vol.5, No.2, pp.375-378, (2005).
  • Boonpok. C, Generalized closed sets in Čech closed spaces. Acta Universitatis Apulensis. Mathematics-Informatics, Vol.22, pp.133-140, (2010).
  • Cech. E, Topological Spaces, Topological Papers of Eduard $\mathrm{\check{C}}$ech, Academia, Preque, pp.436-472, (1968).
  • Chvalina. J, On homeomorphic topologies and equivalent set-systems, Arch. Math. 2, Scripta Fac. Sci. Nat. UJEP Brunensis, Vol.12, pp.107-116, (1976).
  • Chvalina. J, Stackbases in power sets of neighbourhood spaces preserving the continuity of mappings, Arch. Math. 2, Scripta Fac. Sci. Nat. UJEP Brunensis, Vol.17, pp.81-86, (1981).
  • Skula. L, Systeme von stetigen abbildungen, Czech. math. J., Vol. 17, No.92, 45-52, (1967).
  • Slapal. J, Closure operations for digital topology, Theoret. Comput. Sci., Vol.305, pp.457-471, (2003).
  • Levine. N, Generalized closed sets in topology, Rend. Circ. Mat. Palermo, Vol.19, pp.89-96, (1970).
  • Balachandran. K, Sundaram, P, Maki. H, On generalized continuous maps in topological spaces, Mem. Fac. Sci. Kochi Univ. Ser. A Math., Vol.12, pp.5-13, (1991).
  • Palaniappan. M, Chandrasekhara Rao. K, Regular Generalized Closed Sets, Kyungpook Mathematical Journal, Vol.33, No.2, pp.211-219, (1993).

NEW TYPES OF SETS IN CECH CLOSURE SPACES

Year 2021, Volume: 4 Issue: 2, 166 - 171, 31.07.2021

Naime Demirtaş , Orhan Dalkılıç

https://doi.org/10.33773/jum.964785
https://izlik.org/JA84YR43JD

Abstract

In this paper, we analysis and introduce the concepts of regular closed (open) sets and regular generalized closed (open) sets in Cech closure spaces. Also, we investigate the properties such as intersection, union, subspaces of regular generalized closed (open) sets of a Cech closure spaces. Moreover, by giving counter examples of one-sided theorems, it has been shown that the converse situation is not realized.

Keywords

regular closed set regular generalized closed set Cech closure space

References

  • Chandrasekhara Rao. K, Gowri. R, On closure space, Varahmithir Journal of Mathematics Sciences, Vol.5, No.2, pp.375-378, (2005).
  • Boonpok. C, Generalized closed sets in Čech closed spaces. Acta Universitatis Apulensis. Mathematics-Informatics, Vol.22, pp.133-140, (2010).
  • Cech. E, Topological Spaces, Topological Papers of Eduard $\mathrm{\check{C}}$ech, Academia, Preque, pp.436-472, (1968).
  • Chvalina. J, On homeomorphic topologies and equivalent set-systems, Arch. Math. 2, Scripta Fac. Sci. Nat. UJEP Brunensis, Vol.12, pp.107-116, (1976).
  • Chvalina. J, Stackbases in power sets of neighbourhood spaces preserving the continuity of mappings, Arch. Math. 2, Scripta Fac. Sci. Nat. UJEP Brunensis, Vol.17, pp.81-86, (1981).
  • Skula. L, Systeme von stetigen abbildungen, Czech. math. J., Vol. 17, No.92, 45-52, (1967).
  • Slapal. J, Closure operations for digital topology, Theoret. Comput. Sci., Vol.305, pp.457-471, (2003).
  • Levine. N, Generalized closed sets in topology, Rend. Circ. Mat. Palermo, Vol.19, pp.89-96, (1970).
  • Balachandran. K, Sundaram, P, Maki. H, On generalized continuous maps in topological spaces, Mem. Fac. Sci. Kochi Univ. Ser. A Math., Vol.12, pp.5-13, (1991).
  • Palaniappan. M, Chandrasekhara Rao. K, Regular Generalized Closed Sets, Kyungpook Mathematical Journal, Vol.33, No.2, pp.211-219, (1993).
There are 10 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Naime Demirtaş 0000-0003-4137-4810

Orhan Dalkılıç 0000-0003-3875-1398

Submission Date July 7, 2021
Acceptance Date July 26, 2021
Publication Date July 31, 2021
DOI https://doi.org/10.33773/jum.964785
IZ https://izlik.org/JA84YR43JD
Published in Issue Year 2021 Volume: 4 Issue: 2

Cite

APA Demirtaş, N., & Dalkılıç, O. (2021). NEW TYPES OF SETS IN CECH CLOSURE SPACES. Journal of Universal Mathematics, 4(2), 166-171. https://doi.org/10.33773/jum.964785
AMA 1.Demirtaş N, Dalkılıç O. NEW TYPES OF SETS IN CECH CLOSURE SPACES. JUM. 2021;4(2):166-171. doi:10.33773/jum.964785
Chicago Demirtaş, Naime, and Orhan Dalkılıç. 2021. “NEW TYPES OF SETS IN CECH CLOSURE SPACES”. Journal of Universal Mathematics 4 (2): 166-71. https://doi.org/10.33773/jum.964785.
EndNote Demirtaş N, Dalkılıç O (July 1, 2021) NEW TYPES OF SETS IN CECH CLOSURE SPACES. Journal of Universal Mathematics 4 2 166–171.
IEEE [1]N. Demirtaş and O. Dalkılıç, “NEW TYPES OF SETS IN CECH CLOSURE SPACES”, JUM, vol. 4, no. 2, pp. 166–171, July 2021, doi: 10.33773/jum.964785.
ISNAD Demirtaş, Naime - Dalkılıç, Orhan. “NEW TYPES OF SETS IN CECH CLOSURE SPACES”. Journal of Universal Mathematics 4/2 (July 1, 2021): 166-171. https://doi.org/10.33773/jum.964785.
JAMA 1.Demirtaş N, Dalkılıç O. NEW TYPES OF SETS IN CECH CLOSURE SPACES. JUM. 2021;4:166–171.
MLA Demirtaş, Naime, and Orhan Dalkılıç. “NEW TYPES OF SETS IN CECH CLOSURE SPACES”. Journal of Universal Mathematics, vol. 4, no. 2, July 2021, pp. 166-71, doi:10.33773/jum.964785.
Vancouver 1.Demirtaş N, Dalkılıç O. NEW TYPES OF SETS IN CECH CLOSURE SPACES. JUM [Internet]. 2021 July 1;4(2):166-71. Available from: https://izlik.org/JA84YR43JD

Cited By

Novel Classes of Sets in Ideal C˘ ech Closure Spaces
Malaysian Journal of Mathematical Sciences
https://doi.org/10.47836/mjms.19.4.11

33564
https://creativecommons.org/licenses/by-nc-nd/4.0/