A characterization of Corson-compact spaces

Ingo Bandlow

Commentationes Mathematicae Universitatis Carolinae (1991)

  • Volume: 32, Issue: 3, page 545-550
  • ISSN: 0010-2628

Abstract

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We characterize Corson-compact spaces by means of countable elementary substructures.

How to cite

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Bandlow, Ingo. "A characterization of Corson-compact spaces." Commentationes Mathematicae Universitatis Carolinae 32.3 (1991): 545-550. <http://eudml.org/doc/247320>.

@article{Bandlow1991,
abstract = {We characterize Corson-compact spaces by means of countable elementary substructures.},
author = {Bandlow, Ingo},
journal = {Commentationes Mathematicae Universitatis Carolinae},
keywords = {Corson-compact spaces; elementary substructures; elementary submodel; Corson-compact space},
language = {eng},
number = {3},
pages = {545-550},
publisher = {Charles University in Prague, Faculty of Mathematics and Physics},
title = {A characterization of Corson-compact spaces},
url = {http://eudml.org/doc/247320},
volume = {32},
year = {1991},
}

TY - JOUR
AU - Bandlow, Ingo
TI - A characterization of Corson-compact spaces
JO - Commentationes Mathematicae Universitatis Carolinae
PY - 1991
PB - Charles University in Prague, Faculty of Mathematics and Physics
VL - 32
IS - 3
SP - 545
EP - 550
AB - We characterize Corson-compact spaces by means of countable elementary substructures.
LA - eng
KW - Corson-compact spaces; elementary substructures; elementary submodel; Corson-compact space
UR - http://eudml.org/doc/247320
ER -

References

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  1. Amir D., Lindenstrauss J., The structure of weakly compact sets in Banach spaces, Ann. Math. Ser. 2 88:1 (1968), 35-46. (1968) Zbl0164.14903MR0228983
  2. Bandlow I., A construction in set theoretic topology by means of elementary substructures, Zeitschr. f. Math. Logik und Grundlagen d. Math., submitted. Zbl0769.54013
  3. Devlin J., The Yorkshireman's guide to proper forcing, Proc. 1978 Cambridge Summer School in Set Theory. Zbl0524.03041
  4. Dow A., An introduction to applications of elementary submodels to topology, Topology Proceedings, vol. 13, no. 1, 1988. Zbl0696.03024MR1031969
  5. Engelking R., General Topology, Warsaw, 1977. Zbl0684.54001MR0500780
  6. Gul'ko S.P., On properties of subsets of σ -products, Dokl. Akad. Nauk SSSR 237:3 (1977), 505-508. (1977) MR0461410
  7. Kunen K., Set Theory, Studies in Logic 102, North-Holland, 1980. Zbl0960.03033MR0597342
  8. Shapirovskii B.E., Special types of embeddings in Tychonoff cubes, Coll. Math. Soc. Janos Bolyai, 23. Topology Budapest, 1978, 1055-1086. Zbl0437.54008MR0588855

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