TY - JOUR T1 - NEW TYPES OF SETS IN CECH CLOSURE SPACES AU - Dalkılıç, Orhan AU - Demirtaş, Naime PY - 2021 DA - July Y2 - 2021 DO - 10.33773/jum.964785 JF - Journal of Universal Mathematics JO - JUM PB - Gökhan ÇUVALCIOĞLU WT - DergiPark SN - 2618-5660 SP - 166 EP - 171 VL - 4 IS - 2 LA - en AB - 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. KW - regular closed set KW - regular generalized closed set KW - Cech closure space CR - Chandrasekhara Rao. K, Gowri. R, On closure space, Varahmithir Journal of Mathematics Sciences, Vol.5, No.2, pp.375-378, (2005). CR - Boonpok. C, Generalized closed sets in Čech closed spaces. Acta Universitatis Apulensis. Mathematics-Informatics, Vol.22, pp.133-140, (2010). CR - Cech. E, Topological Spaces, Topological Papers of Eduard $\mathrm{\check{C}}$ech, Academia, Preque, pp.436-472, (1968). CR - Chvalina. J, On homeomorphic topologies and equivalent set-systems, Arch. Math. 2, Scripta Fac. Sci. Nat. UJEP Brunensis, Vol.12, pp.107-116, (1976). CR - 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). CR - Skula. L, Systeme von stetigen abbildungen, Czech. math. J., Vol. 17, No.92, 45-52, (1967). CR - Slapal. J, Closure operations for digital topology, Theoret. Comput. Sci., Vol.305, pp.457-471, (2003). CR - Levine. N, Generalized closed sets in topology, Rend. Circ. Mat. Palermo, Vol.19, pp.89-96, (1970). CR - 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). CR - Palaniappan. M, Chandrasekhara Rao. K, Regular Generalized Closed Sets, Kyungpook Mathematical Journal, Vol.33, No.2, pp.211-219, (1993). UR - https://doi.org/10.33773/jum.964785 L1 - https://dergipark.org.tr/en/download/article-file/1866325 ER -