More on *gα-closed sets and *gα-open sets in the digital plane
M. Vigneshwaran, R. Devi · Journal of Global Research in Mathematical Archives(JGRMA) · 2013
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 (Z 2 , k 2 ). Also proved that the family of all * gα-open sets of (Z 2 , k 2 ), say * GαO(Z 2 , k 2 ), forms an alternative topology of Z 2 . 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