On a Topology Between T-alpha and T-gamma alpha
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Using the topology T-gamma in a topological space (X, T) , a new class of generalized open sets called Gamma-preopen sets, is introduced and studied. This class generates a new topology T-g which is larger than T-alpha and smaller than T-gamma alpha. By means of the corresponding interior and closure operators, among other results, necessary and sufficient conditions are given for T-g to coincide with T-alpha, T-gamma or T-gamma alpha .
Keywords:alpha-set / preopen set / Gamma-preopen set / topology T-gamma / topology T-g
Source:Filomat, 2019, 33, 10, 3209-3221
- Univerzitet u Nišu - Prirodno-matematički fakultet - Departmant za matematiku i informatiku, Niš