\(αA^{∗}_\mathcal{I}\)-SETS, \(αC_\mathcal{I}\)-SETS, \(αC^{∗}_\mathcal{I}\)-SETS AND DECOMPOSITIONS OF \(α\)-\(\mathcal{I}\)-CONTINUITY
Keywords:
\(αA^{∗}_\mathcal{I}\)-set, \(αC_\mathcal{I}\)-set, pre-\(\mathcal{I}\)-regular set, ideal topological space, decomposition, ∗-extremally disconnected ideal space, ∗-hyperconnected ideal space, \(\mathcal{I}\)-submaximal ideal spaceAbstract
The aim of this paper is to introduce and study the notions of \(αA^{∗}_\mathcal{I}\)-sets, \(αC_\mathcal{I}\)-sets and \(αC^{∗}_\mathcal{I}\)-sets in ideal topological spaces. Properties of \(αA^{∗}_\mathcal{I}\)-sets, \(αC_\mathcal{I}\)-sets and \(αC^{∗}_\mathcal{I}\)-sets are investigated. Moreover, decompositions of \(α\)-\(\mathcal{I}\)-continuous functions and decompositions of \(αA^{∗}_\mathcal{I}\)-sets, \(αC_\mathcal{I}\)-sets and \(αC^{∗}_\mathcal{I}\)-sets in ideal topological spaces are established.
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Copyright (c) 2015 O. Ravi, V. Rajendran, K. Indirani, S. Vijaya
This work is licensed under a Creative Commons Attribution 4.0 International License.
L'opera è pubblicata sotto Licenza Creative Commons Attribuzione 4.0 Internazionale (CC-BY)
