Definition
- Compact Hausdorff space X is called a Corson compact space if X is a Σ-subset of itself.
Property
- Let
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.
- is super-Valdivia compact.
- X_a is a Corson compact for every a in Λ.
Reference
Kalenda, Ondřej(CZ-KARLMP-MA),A characterization of Valdivia compact spaces, (English summary)Collect. Math. 51 (2000), no. 1, 59--81.