On the paracompactness of frames

Xiangdong Chen

Commentationes Mathematicae Universitatis Carolinae (1992)

  • Volume: 33, Issue: 3, page 485-491
  • ISSN: 0010-2628

Abstract

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Through the study of frame congruences, new characterizations of the paracompactness of frames are obtained.

How to cite

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Chen, Xiangdong. "On the paracompactness of frames." Commentationes Mathematicae Universitatis Carolinae 33.3 (1992): 485-491. <http://eudml.org/doc/247408>.

@article{Chen1992,
abstract = {Through the study of frame congruences, new characterizations of the paracompactness of frames are obtained.},
author = {Chen, Xiangdong},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {paracompact; cover; envelope; congruence; envelope; cover; paracompactness; frame congruence},
language = {eng},
number = {3},
pages = {485-491},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {On the paracompactness of frames},
url = {http://eudml.org/doc/247408},
volume = {33},
year = {1992},
}

TY - JOUR
AU - Chen, Xiangdong
TI - On the paracompactness of frames
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1992
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 33
IS - 3
SP - 485
EP - 491
AB - Through the study of frame congruences, new characterizations of the paracompactness of frames are obtained.
LA - eng
KW - paracompact; cover; envelope; congruence; envelope; cover; paracompactness; frame congruence
UR - http://eudml.org/doc/247408
ER -

References

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  1. Banaschewski B., Lectures on Frames, University of Cape Town, 1988 (unpublished manuscript). 
  2. Chen X., On the local connectedness of frames, J. Pure Appl. Algebra 79 (1992), 35-43. (1992) Zbl0753.54008MR1164120
  3. Dowker C.H., Papert D., Paracompact frames and closed maps, Symp. Math. 16 (1975), 93-116. (1975) Zbl0324.54015MR0410663
  4. Johnstone P.T., Stone Space, Cambridge University Press, 1982. MR0698074
  5. Nagata J., Modern General Topology, N.Y., Wiley, 1968. Zbl0598.54001
  6. Pultr A., Úlehla J., Notes on characterization of paracompact frames, Commentationes Math. Univ. Carolinae 30 (1989), 377-384. (1989) MR1014137
  7. Sun Shu-Hao, On paracompact locales and metric locales, Commentationes Math. Univ. Carolinae 30 (1989), 101-107. (1989) MR0995708

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