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MR1615946 (99h:28008) 28A33 (28C15 46E27)
Panchapagesan, T. V. Baire and $\sigma$-Borel characterizations of weakly compact sets in $M(T)$. Trans. Amer. Math. Soc. 350 (1998), no. 12, 4839--4847.
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