Pseudocompact spaces with a σ -point-finite base are metrizable

Vladimir Vladimirovich Uspenskij

Commentationes Mathematicae Universitatis Carolinae (1984)

  • Volume: 025, Issue: 2, page 261-264
  • ISSN: 0010-2628

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Uspenskij, Vladimir Vladimirovich. "Pseudocompact spaces with a $\sigma $-point-finite base are metrizable." Commentationes Mathematicae Universitatis Carolinae 025.2 (1984): 261-264. <http://eudml.org/doc/17315>.

@article{Uspenskij1984,
author = {Uspenskij, Vladimir Vladimirovich},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Baire spaces; pseudocompact space with sigma-point-finite base},
language = {eng},
number = {2},
pages = {261-264},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Pseudocompact spaces with a $\sigma $-point-finite base are metrizable},
url = {http://eudml.org/doc/17315},
volume = {025},
year = {1984},
}

TY - JOUR
AU - Uspenskij, Vladimir Vladimirovich
TI - Pseudocompact spaces with a $\sigma $-point-finite base are metrizable
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1984
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 025
IS - 2
SP - 261
EP - 264
LA - eng
KW - Baire spaces; pseudocompact space with sigma-point-finite base
UR - http://eudml.org/doc/17315
ER -

References

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  1. MИЩEHKO A. C., О пpocтpaнcтвax c тoчeчнocчeтнoй бaзoй, Дoклaды AH CCCP H 4 (1962), 985-988. (1962) 
  2. ШAXМATOB Д. В., О пceвдoкoмпaктныx пpocтpaнcтвax c тoчeчнo cчeтнoй бaзoй, Дoклaды AH CCCP (в neчaти). 
  3. WATSON W. S., Pseudocompact metacompact spaces are compact, Proc. Amer. Math. Soc. 81 (1981), 151-152. (1981) Zbl0468.54014MR0589159
  4. BEЛИЧKO H. B., О мощности открытых покрытий топологических пространств, Fundam. math. 80 (1973), 271-282. (1973) MR0331303
  5. HAWORTH R. C., MCCOY R. A., Baire spaces, Dissertationes math. 141 (1977). (1977) Zbl0344.54001MR0431104

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