Title |
theta_s-open sets and theta_s-continuity of maps in the product space
**Posted by** Mhelmar Labendia |

Authors |
Hassan, Javier; Labendia, Mhelmar |

Publication date |
2021 |

Journal |
Journal of Mathematics and Computer Science |

Volume |
25 |

Issue |
2 |

Pages |
182-190 |

Publisher |
International Scientific Research Publications |

Abstract |
In this study, the concept of theta_s-open set is introduced. The topology formed by theta_s-open sets is strictly finer than the topology formed by theta-open sets but is not comparable with the topology formed by omega_theta-open sets. Related concepts such as theta_s- open and theta_s-closed functions, theta_s-continuous function, theta_s-connected space, and some versions of separation axioms are defined and characterized. Finally, the concept of theta_s-continuous function from an arbitrary topological space into the product space is investigated further. |

Index terms / Keywords |
theta_s-open, theta_s-closed, theta_s-connected, theta_s-continuous, theta_s-Hausdorff, theta_s-regular, theta_s-normal. |

DOI |
http://dx.doi.org/10.22436/jmcs.025.02.07 |

URL |
https://www.isr-publications.com/jmcs/articles-9898-theta-s-open-sets-and-theta-s-continuity-of-maps-in-the-product-space |