Boolean Isomorphism between Partial Orderings of Convergent and Divergent Series and Infinite Subsets of &#8469

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY(1993)

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摘要
We prove that RO(P(N)/fin, subset-or-equal-to *) is isomorphic under p = cf(2N0) to the Boolean completion of the comparison ordering of the absolutely divergent series (downwards) and under N1 = cf(2N0) to the Boolean completion of the ratio comparison ordering of absolutely convergent series (upwards).
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关键词
(RATIO)COMPARISON ORDERING OF SERIES DISTRIBUTIVITY,BASE MATRIX,CARDINAL CHARACTERISTICS OF BOOLEAN ALGEBRAS AND OF CONTINUUM
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