When an operator gives a unique generalized topology

Journal of Linear and Topological Algebra

دوره 12، شماره 02، شهریور 2023، صفحه 97-104   

نوع مقاله: Review paper

شناسه دیجیتال (DOI): 10.30495/jlta.2023.1983902.1553

نویسندگان

N. Sarkar^{* 1}؛ A. Das¹؛ T. E. Aman²

¹Department of Mathematics, Raiganj University, 733134, Raiganj, India

²Department of Mathematics, Gangarampur College, 733124, Gangarampur, India

چکیده

In topology, we found enough literature on topological operators but in generalized topology, there is only $\mu$-interior, $\mu$-closure, and $\mu$-boundary operator. In this article, we explore different types of operators like $\mu$-derived set operator, $\mu$-exterior operator, $\mu$-preboundary operator in generalized topology. We have shown that any operator can be developed as the above operators impose certain conditions, giving a unique generalized topology in each case.

کلیدواژه‌ها

$\mu$-interior؛ $\mu$-derived set؛ $\mu$-exterior؛ $\mu$-boundary؛ generalized topology

مراجع

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