Some separation axioms in topoframes
عنوان مقاله: Some separation axioms in topoframes
شناسه ملی مقاله: JR_ASYAZDT-9-2_003
منتشر شده در در سال 1401
شناسه ملی مقاله: JR_ASYAZDT-9-2_003
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:
Mohammad Zarghani - Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran
Ali Estaji - Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran
Abolghasem Karimi Feizabadi - Department of Mathematics, Islamic Azad University (Gorgan Branch), Gorgan, Iran
خلاصه مقاله:
Mohammad Zarghani - Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran
Ali Estaji - Faculty of Mathematics and Computer Sciences, Hakim Sabzevari University, Sabzevar, Iran
Abolghasem Karimi Feizabadi - Department of Mathematics, Islamic Azad University (Gorgan Branch), Gorgan, Iran
This paper is about the extension of some classical separation axioms Hausdorffness, regularity and complete regularity to topoframes. We show that they agree with those in frames except perhaps for complete regularity. The interesting results are about complete regularity, in particular when and how these differ from the frame results. These together with the results about B-filters are the focus of the paper.
کلمات کلیدی: Completely regular, Filter, Frame, Hausdorff, Regular, Topoframe
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1580040/