New Type of Generalized Closed Sets in Topological Spaces
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Keywords:
$B$-set, generalized closed set, $\delta g$-closed set, $\delta$-closure of a subsetAbstract
In this paper two new classes of sets, namely $B\delta g$-closed sets and $B\delta g$-open sets are to be introduced and studied in topological spaces. We prove that this class of $B\delta g$-closed sets lies between the class of $\delta$-closed sets and the class of $\delta g$-closed sets. Also we find some relations between $B\delta g$-closed sets and already existing closed sets. Further we discuss their characterisations and obtain their applications.
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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.