• ON GENERALIZED MINIMAL REGULAR SPACES AND GENERALIZED MINIMAL NORMAL SPACES

SUWARNLATHA N. BANASODE

Abstract


In this paper the notions of g-minimal regular spaces and g-minimal normal spaces are introduced and studied in topological spaces. A topological space (X, t) is said to be generalized minimal regular (briefly   g-mi regular) space if for every g-mi closed set F of X and each point xÎ Fc there exists disjoint open sets U and V of X such that xÎU and FÌV. A topological space (X, t) is said to be generalized minimal normal (briefly   g-mi normal) space if for any pair of disjoint g-mi closed sets A and B, there exist disjoint open sets U and V such that AÌ U and BÌV. Some basic properties of such spaces are obtained.


Keywords


minimal closed, g-closed, g-mi closed, g-ma open, g-regular, g-normal, g-mi continuous, g-mi irresolute and g- mi closed map.

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