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  • Author or Editor: Takashi Noiri x
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Summary We investigate further properties of semi-I-open sets and semi-I-continuous functions introduced in [4] and give the notions of semi-I-open and semi-I-closed functions.

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Abstract

We introduce a new notion called weakly contra-m-continuous functions as functions from a set satisfying some minimal conditions into a topological space. We obtain some characterizations and several properties of such functions. The functions enable us to formulate a unified theory of several modifications of weak contra-continuity due to Baker [9].

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Abstract

A new kind of sets called generalized w-closed (briefly gw-closed) sets is introduced and studied in a topological space by using the concept of weak structures introduced by Á. Császár in [6]. The class of all gw-closed sets is strictly larger than the class of all w-closed sets. Furthermore, g-closed sets (in the sense of N. Levine [17]) is a special type of gw-closed sets in a topological space. Some of their properties are investigated. Finally, some characterizations of w-regular and w-normal spaces have been given.

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Abstract

We introduce a new notion called contra-(μ,λ)-continuous functions as functions on generalized topological spaces [8]. We obtain some characterizations and several properties of such functions. The functions enable us to formulate a unified theory of several modifications of contra-continuity due to Dontchev [18].

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Summary  

We define the concept of Λb-sets (resp. V b-sets) of a topological space, i.e., the intersection of b-open (resp. the union of b-closed) sets. We study the fundamental property of Λb-sets (resp. V b-sets) and investigate the topologies defined by these families of sets.

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Summary In [6] we introduced and investigated the notions of f I -sets and f I -continuous functions in ideal topological spaces. In this paper, we investigate their further important properties.

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