A remark on infinite arithmetic progress
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H. Lefmann; B. Voigt
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Article
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1984
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Elsevier Science
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English
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Let Se be a countably family of in&rite subsets of nonnegative integers. Using a diagonal argumpnt it is straight forward to select for each XE& an infinite subset S(X) r~ X such that the family (S(X) 1 XE Se) is disjoint. Also, there exists a mapping A :N --, N such that for every XE & and i EN the