Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/442

 Title: An Example Concerning Valdivia Compact Spaces Authors: Kalenda, Ondrej Keywords: Valdivia Compact SpaceFréchet-Urysohn SpaceCountably Compact SpaceCountably 1-Norming Markusevic Basis Issue Date: 1999 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Serdica Mathematical Journal, Vol. 25, No 2, (1999), 131p-140p Abstract: 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. Description: ∗ Supported by Research grants GAUK 190/96 and GAUK 1/1998 URI: http://hdl.handle.net/10525/442 ISSN: 1310-6600 Appears in Collections: Volume 25 Number 2

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