Eberlein spaces of finite metrizability number

István Juhász; Zoltán Szentmiklóssy; Andrzej Szymański

Commentationes Mathematicae Universitatis Carolinae (2007)

  • Volume: 48, Issue: 2, page 291-301
  • ISSN: 0010-2628

Abstract

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Yakovlev [On bicompacta in Σ -products and related spaces, Comment. Math. Univ. Carolin. 21.2 (1980), 263–283] showed that any Eberlein compactum is hereditarily σ -metacompact. We show that this property actually characterizes Eberlein compacta among compact spaces of finite metrizability number. Uniformly Eberlein compacta and Corson compacta of finite metrizability number can be characterized in an analogous way.

How to cite

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Juhász, István, Szentmiklóssy, Zoltán, and Szymański, Andrzej. "Eberlein spaces of finite metrizability number." Commentationes Mathematicae Universitatis Carolinae 48.2 (2007): 291-301. <http://eudml.org/doc/250186>.

@article{Juhász2007,
abstract = {Yakovlev [On bicompacta in $\Sigma $-products and related spaces, Comment. Math. Univ. Carolin. 21.2 (1980), 263–283] showed that any Eberlein compactum is hereditarily $\sigma $-metacompact. We show that this property actually characterizes Eberlein compacta among compact spaces of finite metrizability number. Uniformly Eberlein compacta and Corson compacta of finite metrizability number can be characterized in an analogous way.},
author = {Juhász, István, Szentmiklóssy, Zoltán, Szymański, Andrzej},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {metrizability number; Eberlein compactum; separating family; metrizability number; Eberlein compactum; separating family},
language = {eng},
number = {2},
pages = {291-301},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {Eberlein spaces of finite metrizability number},
url = {http://eudml.org/doc/250186},
volume = {48},
year = {2007},
}

TY - JOUR
AU - Juhász, István
AU - Szentmiklóssy, Zoltán
AU - Szymański, Andrzej
TI - Eberlein spaces of finite metrizability number
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 2007
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 48
IS - 2
SP - 291
EP - 301
AB - Yakovlev [On bicompacta in $\Sigma $-products and related spaces, Comment. Math. Univ. Carolin. 21.2 (1980), 263–283] showed that any Eberlein compactum is hereditarily $\sigma $-metacompact. We show that this property actually characterizes Eberlein compacta among compact spaces of finite metrizability number. Uniformly Eberlein compacta and Corson compacta of finite metrizability number can be characterized in an analogous way.
LA - eng
KW - metrizability number; Eberlein compactum; separating family; metrizability number; Eberlein compactum; separating family
UR - http://eudml.org/doc/250186
ER -

References

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  9. Michael E., Rudin M.E., A note on Eberlein compacts, Pacific J. Math. 72.2 (1977), 487-495. (1977) Zbl0345.54020MR0478092
  10. Michael E., Rudin M.E., Another note on Eberlein compacts, Pacific J. Math. 72.2 (1977), 497-499. (1977) Zbl0344.54018MR0478093
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  12. Yakovlev N.N., On bicompacta in Σ -products and related spaces, Comment. Math. Univ. Carolin. 21.2 (1980), 263-283. (1980) Zbl0436.54019MR0580682

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