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math.FA2011
A weak* separable C(K)* space whose unit ball is not weak* separable
Antonio Avilés, Grzegorz Plebanek, José Rodríguez
We provide a ZFC example of a compact space K such that C(K)* is w*-separable but its closed unit ball is not w*-separable. All previous examples of such kind had been constructed…
math.FA2011
Measurability in C(2^k) and Kunen cardinals
Antonio Avilés, Grzegorz Plebanek, José Rodríguez
A cardinal k is called a Kunen cardinal if the sigma-algebra on k x k generated by all products AxB, coincides with the power set of k x k. For any cardinal k, let C(2^k) be the Ba…