A WEAK* SEPARABLE C(K)* SPACE WHOSE UNIT BALL IS NOT WEAK* SEPARABLE

作者：Aviles A^*; Plebanek G; Rodriguez J

来源：Transactions of the American Mathematical Society, 2014, 366(9): 4733-4753.

DOI：10.1090/S0002-9947-2014-05962-X

• Weak*-separability
• Baire sigma-algebra
• measurability
• Kunen cardinal

We provide a ZFC example of a compact space K such that C(K)* is w*-separable but its closed unit ball B-C(K)* is not w*-separable. All previous examples of such kind had been constructed under CH. We also discuss the measurability of the supremum norm on that C(K) equipped with its weak Baire sigma-algebra.

• 出版日期2014-9