Evasion and prediction II

by Brendle and Shelah. [BnSh:540]
J London Math Soc, 1996
A subgroup G <= Z^omega exhibits the Specker phenomenon if every homomorphism G-> Z maps almost all unit vectors to 0 . We give several combinatorial characterizations of the cardinal se, the size of the smallest G <= Z^omega exhibiting the Specker phenomenon. We also prove the consistency of b < e, where b is the unbounding number and e the evasion number. Our results answer several questions addressed by Blass.

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