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Selection principles and countable dimension


Abstract


We consider player TWO of the game G1(A,B) when A and B are special classes of open covers of metrizable spaces. Our results give game-theoretic characterizations of the notions of a countable dimensional and of a strongly countable dimensional metric spaces.

DOI Code: 10.1285/i15900932v27supn1p5

Keywords: Countable dimensional; Strongly countable dimensional; Selection principle; Infinite game

Classification: 54D20; 54F45; 91A44; 03E10

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