• ON GENERALIZED MINIMAL REGULAR SPACES AND GENERALIZED MINIMAL NORMAL SPACES

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-m_i regular) space if for every g-m_i closed set F of X and each point xÎ F^c 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-m_i normal) space if for any pair of disjoint g-m_i 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.