Generalized Hyperconnected Sets in Topological Spaces
DOI:
https://doi.org/10.58916/jhas.v10i3.829Keywords:
Hyper connected set, g-closed set, gh-component, g-hyperconnected set, g-open set, T_(1/2) spaceAbstract
This paper introduces the notion of generalized hyperconnected sets in topological spaces using Levine’s concept of generalized closed sets. We define generalized hyperconnected sets and generalized hyperconnected components and study their fundamental properties. Furthermore, we provide necessary conditions for a topological space to be generalized hyperconnected. The relationship between this type of connectedness and other types is also presented. Several results concerning these new concepts are obtained and proven.
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