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Corson compact

Last-modified: 2010-12-01 (水) 01:29:22

Definition Edit

  • Compact Hausdorff space X is called a Corson compact space if X is a Σ-subset of itself.

Property Edit

  • Let imgtex.fcgi?%5bres=100%5d%7b$X_a%2c%5c:a%5cin%20%5cLambda$%7d%25.png be an arbitrary family of nonempty compact Hausdorff spaces such that each X_a has a dense subset of G_δ points. Then the follwing two conditions are equivalent.

Reference Edit

Kalenda, Ondřej(CZ-KARLMP-MA),A characterization of Valdivia compact spaces, (English summary)Collect. Math. 51 (2000), no. 1, 59--81.