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More on *gα-closed sets and *gα-open sets in the digital plane

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Abstract:

Digital topology was first studied by the computer image analysis researcher Azriel Rosenfeld [12]. The concept of *gα-closed sets in a topological spaces was introduced by M. Vigneshwaran and R. Devi[14]. In this paper, we study the properties of *gα-closed and *gα-open sets in the digital plane (Z2, k2). Also proved that the family of all *gα-open sets of (Z2, k2), say *GαO(Z2, k2), forms an alternative topology of Z2. Also we derive the properties of *gα-closed and *gα-open sets in the digital plane via the singletons points. Keywords: *gα-closed sets, *gα-open sets,digital plane, digital topology

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