NEW TYPES OF SETS IN CECH CLOSURE SPACES

Yıl 2021, , 166 - 171, 31.07.2021

Naime Demirtaş , Orhan Dalkılıç

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

Öz

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.

Anahtar Kelimeler

regular closed set, regular generalized closed set, Cech closure space

Kaynakça

• 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).