On $e^{\ast}$-Open Sets and $(\mathcal{D},\mathcal{S})^{\ast}$-Sets
Mathematica Moravica, Tome 13 (2009) no. 1.
Voir la notice de l'article dans eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
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/} }
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/