Research Article

NEW TYPES OF SETS IN CECH CLOSURE SPACES

Volume: 4 Number: 2 July 31, 2021
EN

NEW TYPES OF SETS IN CECH CLOSURE SPACES

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

References

  1. Chandrasekhara Rao. K, Gowri. R, On closure space, Varahmithir Journal of Mathematics Sciences, Vol.5, No.2, pp.375-378, (2005).
  2. Boonpok. C, Generalized closed sets in Čech closed spaces. Acta Universitatis Apulensis. Mathematics-Informatics, Vol.22, pp.133-140, (2010).
  3. Cech. E, Topological Spaces, Topological Papers of Eduard $\mathrm{\check{C}}$ech, Academia, Preque, pp.436-472, (1968).
  4. Chvalina. J, On homeomorphic topologies and equivalent set-systems, Arch. Math. 2, Scripta Fac. Sci. Nat. UJEP Brunensis, Vol.12, pp.107-116, (1976).
  5. 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).
  6. Skula. L, Systeme von stetigen abbildungen, Czech. math. J., Vol. 17, No.92, 45-52, (1967).
  7. Slapal. J, Closure operations for digital topology, Theoret. Comput. Sci., Vol.305, pp.457-471, (2003).
  8. Levine. N, Generalized closed sets in topology, Rend. Circ. Mat. Palermo, Vol.19, pp.89-96, (1970).

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

July 31, 2021

Submission Date

July 7, 2021

Acceptance Date

July 26, 2021

Published in Issue

Year 2021 Volume: 4 Number: 2

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.Naime Demirtaş, Orhan Dalkılıç. NEW TYPES OF SETS IN CECH CLOSURE SPACES. JUM. 2021 Jul. 1;4(2):166-71. doi:10.33773/jum.964785

Cited By