Geodesic
An Example Concerning Valdivia Compact Spaces
Serdica Mathematical Journal, Tome 25 (1999) no. 2, pp. 131-140.

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We prove that the dual unit ball of the space C0 [0, ω1 ) endowed with the weak* topology is not a Valdivia compact. This answers a question posed to the author by V. Zizler and has several consequences. Namely, it yields an example of an affine continuous image of a convex Valdivia compact (in the weak* topology of a dual Banach space) which is not Valdivia, and shows that the property of the dual unit ball being Valdivia is not an isomorphic property. Another consequence is that the space C0 [0, ω1 ) has no countably 1-norming Markusevic basis.
Keywords: Valdivia Compact Space, Fréchet-Urysohn Space, Countably Compact Space, Countably 1-Norming Markusevic Basis 
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Kalenda, Ondrej. An Example Concerning Valdivia Compact Spaces. Serdica Mathematical Journal, Tome 25 (1999) no. 2, pp. 131-140. http://geodesic.mathdoc.fr/item/SMJ2_1999_25_2_a3/