Öz
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).
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).
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Matematik |
| Bölüm | Araştırma Makalesi |
| Yazarlar | |
| Yayımlanma Tarihi | 31 Temmuz 2021 |
| Gönderilme Tarihi | 7 Temmuz 2021 |
| Kabul Tarihi | 26 Temmuz 2021 |
| Yayımlandığı Sayı | Yıl 2021 Cilt: 4 Sayı: 2 |
