Geodesic
Eberlein spaces of finite metrizability number
Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 2, pp. 291-301 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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Yakovlev [{\it On bicompacta in $\Sigma $-products and related spaces\/}, Comment. Math. Univ. Carolin. {\bf 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.
Yakovlev [{\it On bicompacta in $\Sigma $-products and related spaces\/}, Comment. Math. Univ. Carolin. {\bf 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.
Classification : 54A15, 54A38, 54D10, 54D20, 54D30, 54E45
Keywords: metrizability number; Eberlein compactum; separating family 
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     title = {Eberlein spaces of finite metrizability number},
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Juhász, I.; Szentmiklóssy, Z.; Szymański, A. Eberlein spaces of finite metrizability number. Commentationes Mathematicae Universitatis Carolinae, Tome 48 (2007) no. 2, pp. 291-301. http://geodesic.mathdoc.fr/item/CMUC_2007_48_2_a10/