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arXiv · 1208.2207

On Baire measurability in spaces of continuous functions

Antonio Avilés·Grzegorz Plebanek·José Rodríguez
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Abstract

Let C(K) be the Banach space of all continuous functions on a given compact space K. We investigate the w*-sequential closure in C(K)* of the set of all finitely supported probabilities on K. We discuss the coincidence of the Baire sigma-algebras on C(K) associated to the weak and pointwise convergence topologies.

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Antonio Avilés, Grzegorz Plebanek, José Rodríguez. 2012-08-10. On Baire measurability in spaces of continuous functions. https://arxiv.org/abs/1208.2207

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