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CAUCHY COMPLETION OF CS¶ASZ¶AR FRAMES

Se Hwa Chung
대한수학회 (The Korean Mathematical Society)|2005.03|대한수학회지 (Journal of the KMS)|제42권 제2호|pp. 101-114

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참고문헌

주제분류수학

초록

Abstract

We introduce a concept of Cauchy complete Cs¶asz¶ar frames and construct Cauchy completions of Cs¶asz¶ar frames using strict extensions of frames and show that the Cauchy completion gives rise to a core°ection in the categories CsFrm and UCsFrm.

참고문헌 (12)

  1. "Compactications of frames", 149, pp.105~115 (1990)
  2. "Filters and strict extensions of frames", 39(1), pp.215~230 (1999)
  3. "Cauchy points of uniform and nearness frames", 19, pp.101~127 (1996)
  4. "Samuel compactication and completion of uniform frames", 108, pp.63~78 (1990)
  5. "Categories of syntopogenous spaces", Sogang University
  6. "Foundation of General Topology" (1963), MacMillan Company
  7. "Convergence in frames", 35, pp.85~91 (1995)
  8. "Cauchy completions of nearness frames", 3, pp.371~377 (1995)
  9. "Atomless parts of space", 31, pp.5~32 (1972)
  10. "Stone Spaces", 3 (1982)
  11. "Structured frames by Weil Entourages", 8, pp.351~366 (2000)
  12. "Convergence and Uniformity in Topology" (1940), Princeton University Press

관련 논문AI추천

Cauchy Completeness of κ-framesM. Mahmoudi, M. M. Ebrahimi, M. Vojdani Tabatabaee경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제4호ON HOMOMORPHISMS ON CSASZAR FRAMES정세화대한수학회 · 대한수학회논문집2008 · 제23권 제3호A Method of Constructing Compatible Frame Quasi-uniformitiesJorge Picado, Maria Joao Ferreira경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2004 · 제44권 제3호κ-Compact FramesNIZAR MARCUS경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2002 · 제42권 제1호The Semicontinuous Quasi-uniformity of a FrameJorge Picado, Maria Joo Ferreira경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2006 · 제46권 제2호Certain cs-Images of Locally Separable Metric SpacesJinjin Li경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2003 · 제43권 제1호

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