Evasion and Prediction II |
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Authors: | Brendle Jorg; Shelah Saharon |
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Institution: | Mathematisches Institut der Universität Auf der Morgenstelle 10, 72076 Tübingen, Germany
Department of Mathematics, Hebrew University Givat Ram, 91904 Jerusalem, Israel and Department of Mathematics, Rutgers University New Brunswick, NJ 08854, USA |
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Abstract: | A subgroup G Z exhibits the Specker phenomenon if every homomorphismG Z maps almost all unit vectors to 0. We give several combinatorialcharacterizations of the cardinal e, the size of the smallestG Z exhibiting the Specker phenomenon. We also prove the consistencyof > e, where is the unbounding number and e the evasionnumber. Our results answer several questions addressed by Blass. |
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