논문KCI 등재
κ-Compact Frames
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Abstract
A pointfree version of Herrlich's κ-compact spaces is presented. We show that the classes of κ-LIndeloef frames are generated by the open-set lattices of spaces introduced by Husek to show that the categories of κ-compact spaces are all simple in the category of Hausdorff spaces. A pointfree analogue of Hong's zero dimensionally κ-compact spaces is also presented.
관련 논문AI추천
Cauchy Completeness of κ-framesM. Mahmoudi, M. M. Ebrahimi, M. Vojdani Tabatabaee경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제4호Variants of Compactness in Pointfree TopologyBernhard Banaschewski, Sung Sa Hong경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제4호The Semicontinuous Quasi-uniformity of a FrameJorge Picado, Maria Joo Ferreira경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제2호Almost Lindelof frames강미경강원경기수학회 · 한국수학논문집2010 · 제18권 제1호On maximal compact framesJayaprasad P N, Madhavan Namboothiri N M, Santhosh P K, Varghese Jacob강원경기수학회 · 한국수학논문집2021 · 제29권 제3호On Spaces in which compact-like sets are closed, and related spaces홍우철대한수학회 · 대한수학회논문집2007 · 제22권 제2호
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