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Keywords:
Corson-compact spaces; elementary substructures
Summary:
We characterize Corson-compact spaces by means of countable elementary substructures.
References:
[1] Amir D., Lindenstrauss J.: The structure of weakly compact sets in Banach spaces. Ann. Math. Ser. 2 88:1 (1968), 35-46. MR 0228983 | Zbl 0164.14903
[2] Bandlow I.: A construction in set theoretic topology by means of elementary substructures. Zeitschr. f. Math. Logik und Grundlagen d. Math., submitted. Zbl 0769.54013
[3] Devlin J.: The Yorkshireman's guide to proper forcing. Proc. 1978 Cambridge Summer School in Set Theory. Zbl 0524.03041
[4] Dow A.: An introduction to applications of elementary submodels to topology. Topology Proceedings, vol. 13, no. 1, 1988. MR 1031969 | Zbl 0696.03024
[5] Engelking R.: General Topology. Warsaw, 1977. MR 0500780 | Zbl 0684.54001
[6] Gul'ko S.P.: On properties of subsets of $\sigma$-products. Dokl. Akad. Nauk SSSR 237:3 (1977), 505-508. MR 0461410
[7] Kunen K.: Set Theory. Studies in Logic 102, North-Holland, 1980. MR 0597342 | Zbl 0960.03033
[8] Shapirovskii B.E.: Special types of embeddings in Tychonoff cubes. Coll. Math. Soc. Janos Bolyai, 23. Topology Budapest, 1978, 1055-1086. MR 0588855 | Zbl 0437.54008

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