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THE IDEAL DETERMINED BY THE UNSYMMETRIC GAME L. NEWELSKI and a. ROSLANOWSKI

By Communicated Andreas R. Blass

Abstract

Abstract. In the present paper we study the ideal of all subsets of 3?°> for which the second player has a winning strategy in the unsymmetric game. We describe its cardinal coefficients and the notions of forcing determined by it. Let T*g,{A) denote the unsymmetric game on the set A C Sfw. In this game Player I chooses finite sequences of elements of Sf while Player II chooses single elements of Sf. They play alternately to construct a function c = S\AniAs2An2A ■■ ■ £ Sfw, where s, is the /th sequence chosen by the first playe

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.353.1588
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