• (1, 2)*- -CLOSED AND (1, 2)*- -OPEN MAPS IN BITOPOLOGICAL SPACES

M. Kamaraj, K. Kumaresan, O. Ravi*, A. Pandi

Abstract


A set A in a bitopological space X is said to be (1,2)*- -closed set if t1,2-cl(A) Í U whenever A Í U and U is (1,2)*-sg-open in X. In this paper, we introduce (1,2)*- -closed map from a bitopological space (X, t1, t2) to a bitopological space (Y, s1, s2) as the image of every t1,2-closed set is (1,2)*- -closed, and also we prove that the composition of two (1,2)*- -closed maps need not be a (1,2)*- -closed map. We also obtain some properties of
(1, 2)*- -closed maps.

Keywords


Bitopological space, (1, 2)*- -closed map, (1,2)*- -closed map, (1,2)*- -open map, (1,2)*- -open map.

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