Door spaces on N-topology

Authors

DOI:

https://doi.org/10.23755/rm.v47i0.957

Keywords:

N-topology, door space, sub maximal, 〖Nτ〗_d β-open sets.

Abstract

In this article, we explore the idea of door space on -topological space. Here, we discuss which door spaces in this space are related with  submaximal. The equivalent conditions shows how it connects a -topological property. Also, we derive various door spaces using separation axioms and discuss the characteristics of such door spaces. We take a strong form of open set in -topological space and introduce a new door space called  - door space. In addition, we analyze -door space and discuss the relationship between a -locally closed set and -closed set.

References

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Published

2023-06-30

Issue

Section

Volume 47-2023