On \(\lambda_g^\alpha\)-closed and \(\lambda_g^\alpha\)-open sets in topological spaces
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DOI:
https://doi.org/10.26637/MJM0804/0157Abstract
The purpose of this paper is to introduce a new form of generalized closed set called \(\lambda_g^\alpha\)-closed set which employs the notions of \(\lambda\)-sets and \(\alpha\)-open sets. Some fundamental properties and characterizations of such sets are analysed. Further \(\lambda_g^\alpha\)-open set is defined and some of its properties are analysed. Moreover, the relationships between the newly defined sets and already existing sets are obtained with appropriate examples.
Keywords:
Topological spaces, $alpha $-closed set, $Lambda $-set, $lambda $-closed set, $lambda_g^alpha $-closed set, $lambda_g^alpha $-open setMathematics Subject Classification:
Mathematics- Pages: 2248-2252
- Date Published: 01-10-2020
- Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)
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