논문KCI 등재
The Semicontinuous Quasi-uniformity of a Frame
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Abstract
The semicontinuous quasi-uniformity is known to be one of the most important examples of transitive quasi-uniformities. The aim of this paper is to show that various facts in classical topology connected with the semicontinuous quasi-uniformity and semicontinuous real functions may be easily extended to pointfree topology via a construction introduced by the authors in a previous paper. Several consequences are derived.
참고문헌 (17)
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- W. Hunsaker, "Frames with transitive structures", 10 (2002)
- P. T. Johnstone, "Cambridge Studies in Advanced Mathematics", 3 (1982), Cambridge University Press
- Li Yong-ming, "Localic Katˇetov-Tong insertion theorem and localic Tietze extension theorem", 38, pp.801~814 (1997)
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- J. Picado, "Weil uniformities for frames", 36, pp.357~370 (1995)
- J. Picado, "Frame quasi-uniformities by entourages" (1999), Department of Mathematics, University of Cape Town
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- J. Picado, "in: Categorical Foundations - Special Topics in Order,Topology, Algebra and Sheaf Theory", 94, pp.49~101 (2004), Cambridge University Press
관련 논문AI추천
A Method of Constructing Compatible Frame Quasi-uniformitiesJorge Picado, Maria Joao Ferreira경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제3호Categorical properties of semi-continuousquasi-ordered spacesSeon Ho Shin대한수학회 · 대한수학회논문집2002 · 제17권 제4호ON HOMOMORPHISMS ON CSASZAR FRAMES정세화대한수학회 · 대한수학회논문집2008 · 제23권 제3호κ-Compact FramesNIZAR MARCUS경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제1호Cauchy Completeness of κ-framesM. Mahmoudi, M. M. Ebrahimi, M. Vojdani Tabatabaee경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제4호Some remarks on quasi and weakly quasi continuous functionsHyunjung Song, Seungwook Kim대한수학회 · 대한수학회논문집2002 · 제17권 제4호
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