In this paper, we introduce several types of generalized closed sets in generalized
topological spaces (GTSs). Their interrelationships are investigated and several …

A family R of binary relations on a set X will be called a relator on X, and the ordered pair X
(R)=(X, R) will be called a relator space. Each generalized topology T on X can be easily …

If X is a topological space and A⊆ X, then the number of distinct sets that can be obtained
from A by using all possible compositions for operators iγ, cγ (where γ= σ, π, α, β) introduced …

A more general definition of extremally µ-disconnected generalized topological space [3] is
introduced and its properties are studied. We have further improved the definitions of …

给出在广义邻域系统上几乎连续的定义, 并找到该种连续的一组等价刻画. 随后,
研究了该种连续与其它多种连续的关系. 指出: 在广义邻域系统上的几乎连续严格强于弱连续 …

A. Cs´ asz´ ar and Makai Jr.[5] introduced the concepts of the mixed operation γθ (ν1, ν2)
and mixed θ (ν1, ν2)-open sets in generalized topological spaces. In this paper, we extend …

This paper intends to initiate a new type of generalized closed set in topological space with
the theoretical application of generalized topological space. This newly defined set is a …

借鉴一般拓扑空间与广义拓扑空间中连续性的定义方法, 首先给出Rr 半拓扑空间中逆开连续,
点态连续的定义, 并得出逆开连续一定是点态连续, 点态连续不一定是逆开连续的结论; 又给出R …

Abstract $(\lambda,\mu) $-regularity and $(\lambda,\mu) $-normality are defined for
generalized topological spaces. Several variants of normality existing in the literature turn …

In 1963 [32], Levine introduced semi-open sets in topological spaces. Since then, many
papers were devoted to many weak forms of open sets, namely preopen sets [34], α-open …