논문KCI 등재
Cauchy Completeness of κ-frames
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Abstract
Considering general Cauchy filters for κ-frames, we prove some results about completeness, given by Banaschewski, for κ-frames. In particular, we show that a uniform-frame L is complete if and only if every general regular Cauchy filter of L is convergent.
참고문헌 (7)
- "Completion in pointfree topology", pp.1~26 (1996), University of Cape Town
- "Samuel compactification and completion of uniform frames", 108, pp.63~78 (1990)
- "Pseudocompactness^the cozero part of a frame", 37(3), pp.577~587 (1996)
- "Atomless parts of spaces", 31, pp.5~32 (1972)
- "Cambridge studies in advanced mathematics" (1982), CambridgeUniversity press
- "-compact frames", 42, pp.147~164 (2002)
- "Compactifications and uniformities on sigma frames", Math. Univ. Carolinae
관련 논문AI추천
κ-Compact FramesNIZAR MARCUS경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제1호CAUCHY COMPLETION OF CS¶ASZ¶AR FRAMESSe Hwa Chung대한수학회 · 대한수학회지2005 · 제42권 제2호The Semicontinuous Quasi-uniformity of a FrameJorge Picado, Maria Joo Ferreira경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제2호A Method of Constructing Compatible Frame Quasi-uniformitiesJorge Picado, Maria Joao Ferreira경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제3호ON HOMOMORPHISMS ON CSASZAR FRAMES정세화대한수학회 · 대한수학회논문집2008 · 제23권 제3호Almost Lindelof frames강미경강원경기수학회 · 한국수학논문집2010 · 제18권 제1호
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