BIOPERATION ON πΉπ·πΊ-OPEN SETS IN TOPOLOGICAL SPACES
DOI:
https://doi.org/10.55766/sujst-2024-01-e02735Keywords:
Bioperation, closure, interior, regular space, submaximal space, πΉπ·πΊ-open set, π-openAbstract
The concept of a π operation on a new class of πΉπ·πΊ-open subsets was defined. The comparisons were made with all other existing open sets with this new open set. Here for the same topological space two different operations π and πβ²are defined and a new concept of bioperation was introduced. The concepts of [π,πβ²]-open sets and [π,πβ²]-regular spaces along with some topological properties were analysed. Two types of [π,πβ²]-closures were studied with their properties, and the submaximal spaces were analyzed.
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