When an operator gives a unique generalized topology. (English) Zbl 1530.54004
Summary: 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.
MSC:
54A05 | Topological spaces and generalizations (closure spaces, etc.) |
Keywords:
\(\mu\)-interior; \(\mu\)-derived set; \(\mu\)-exterior; \(\mu\)-boundary; generalized topologyReferences:
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