On $e^{\ast}$-Open Sets and $(\mathcal{D},\mathcal{S})^{\ast}$-Sets
Mathematica Moravica, Tome 13 (2009) no. 1.

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The aim of this paper is to introduce some new classes of sets and some new classes of continuity namely $e^{\ast}$-open sets, $(\mathcal{D},\mathcal{S})$-sets, $(\mathcal{DS},\mathcal{E})$-sets, $(\mathcal{D},\mathcal{S})^{\ast}$-sets, $(\mathcal{DS},\mathcal{E})^{\ast}$-sets, $e^{\ast}$-continuity, $(\mathcal{D},\mathcal{S})^{\ast}$-continuity and $(\mathcal{DS},\mathcal{E})^{\ast}$$-continuity. Properties of these new concepts are investigated. Moreover, some new decompositions of continuity are provided.
Mots-clés : $e^{\ast}$-open set, $e^{\ast}$-continuity, decomposition of continuity, $(\mathcal{D};\mathcal{S})$-set, $(\mathcal{DS};\mathcal{E})$-set, $(\mathcal{D};\mathcal{S})^{\ast}$-set, $(\mathcal{DS};\mathcal{E})^{\ast}$-set, $(\mathcal{D};\mathcal{S})^{\ast}$-continuity, $(\mathcal{DS};\mathcal{E})^{\ast}$-continuity
@article{MM3_2009_13_1_a3,
     author = {Erdal Ekici},
     title = {On $e^{\ast}${-Open} {Sets} and $(\mathcal{D},\mathcal{S})^{\ast}${-Sets}},
     journal = {Mathematica Moravica},
     pages = {29 - 36},
     publisher = {mathdoc},
     volume = {13},
     number = {1},
     year = {2009},
     url = {https://geodesic-test.mathdoc.fr/item/MM3_2009_13_1_a3/}
}
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Erdal Ekici. On $e^{\ast}$-Open Sets and $(\mathcal{D},\mathcal{S})^{\ast}$-Sets. Mathematica Moravica, Tome 13 (2009) no. 1. https://geodesic-test.mathdoc.fr/item/MM3_2009_13_1_a3/