A sufficient condition of full normality

Tomáš Kaiser

Commentationes Mathematicae Universitatis Carolinae (1996)

  • Volume: 37, Issue: 2, page 381-389
  • ISSN: 0010-2628

Abstract

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We present a direct constructive proof of full normality for a class of spaces (locales) that includes, among others, all metrizable ones.

How to cite

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Kaiser, Tomáš. "A sufficient condition of full normality." Commentationes Mathematicae Universitatis Carolinae 37.2 (1996): 381-389. <http://eudml.org/doc/247914>.

@article{Kaiser1996,
abstract = {We present a direct constructive proof of full normality for a class of spaces (locales) that includes, among others, all metrizable ones.},
author = {Kaiser, Tomáš},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {paracompactness (full normality); uniform locales; metrizability; full normality},
language = {eng},
number = {2},
pages = {381-389},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A sufficient condition of full normality},
url = {http://eudml.org/doc/247914},
volume = {37},
year = {1996},
}

TY - JOUR
AU - Kaiser, Tomáš
TI - A sufficient condition of full normality
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1996
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 37
IS - 2
SP - 381
EP - 389
AB - We present a direct constructive proof of full normality for a class of spaces (locales) that includes, among others, all metrizable ones.
LA - eng
KW - paracompactness (full normality); uniform locales; metrizability; full normality
UR - http://eudml.org/doc/247914
ER -

References

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  1. Isbell J.R., Atomless parts of spaces, Math. Scand. 31 (1972), 5-32. (1972) Zbl0246.54028MR0358725
  2. Johnstone P.T., Stone Spaces, Cambridge University Press, Cambridge, 1982. Zbl0586.54001MR0698074
  3. Kelley J.L., General Topology, Van Nostrand, Princeton, 1955. Zbl0518.54001MR0070144
  4. Pultr A., Notes on an extension of the structure of frame, Discrete Mathematics 108 (1992), 107-114. (1992) Zbl0759.06011MR1189833
  5. Pultr A., Pointless uniformities I. Complete regularity, Comment. Math. Univ. Carolinae 25 (1984), 91-104. (1984) Zbl0543.54023MR0749118
  6. Pultr A., Pointless uniformities II. (Dia)metrization, Comment. Math. Univ. Carolinae 25 (1984), 105-120. (1984) MR0749119
  7. Pultr A., Remarks on metrizable locales, Proc. 12th Winter School, Suppl. ai Rend. Circ. Mat. Palermo (2) 6 (1984), 247-258. (1984) Zbl0565.54001MR0782722
  8. Pultr A., Úlehla J., Notes on characterization of paracompact frames, Comment. Math. Univ. Carolinae 30.2 (1989), 377-384. (1989) MR1014137
  9. Stone A.H., Paracompactness and product spaces, Bull. Amer. Math. Soc. 54 (1948), 977-982. (1948) Zbl0032.31403MR0026802
  10. Sun Shu-Hao, On paracompact locales and metric locales, Comment. Math. Univ. Carolinae 30 (1989), 101-107. (1989) MR0995708
  11. Tukey J.W., Convergence and uniformity in topology, Ann. of Math. Studies 2 (1940). (1940) Zbl0025.09102MR0002515

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