On maximal and minimal µ-clopen sets in GT spaces
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DOI:
https://doi.org/10.26637/MJM0604/0023Abstract
In this paper, we introduce the notions of maximal and minimal $\mu$-clopen sets in a generalized topological space and their some properties. We obtain that maximal and minimal $\mu$-clopen sets are independent of maximal and minimal $\mu$-open and $\mu$-closed sets. We observed that the existence of maximal $\mu$-clopen set in a generalized topological space not only ensure the $\mu$-disconnectedness of a generalized topological space but also the existence of minimal $\mu$-clopen set in that space.
Keywords:
µ -open set, µ -closed set, maximal µ -open set, minimal µ -closed set, µ -clopen, maximal µ -clopen set, minimal µ-clopen setMathematics Subject Classification:
Mathematics- Pages: 854-857
- Date Published: 01-10-2018
- Vol. 6 No. 04 (2018): Malaya Journal of Matematik (MJM)
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