Title |
The topology of theta_e-open sets
**Posted by** Mhelmar Labendia |

Authors |
Asdain, Aldison; Labendia, Mhelmar |

Publication date |
2021 |

Journal |
Poincare Journal of Analysis and Applications |

Volume |
8 |

Issue |
2 |

Pages |
133-143 |

Publisher |
Poincare Publishers |

Abstract |
This paper aims is to introduce a new class of open set defined using e-closure operator, which we call the theta_e-open set. Significantly, the family of all theta_e-open sets forms a topology on a topological space. This paper also characterizes the concepts of theta_e-connected space,
some versions of separation axioms with respect to theta_e-open sets, and theta_e-continuous
function from an arbitrary topological space into the product space. |

Index terms / Keywords |
theta_e-open, theta_e-closed, theta_e-connected, theta_e-continuous |

URL |
http://www.pjaa.poincarepublishers.com/pjaa/wp-content/uploads/2022/02/FP-PJAA-2021-82-2.pdf |