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Independence Results for Class Forms of the Axiom of Choice

✍ Scribed by Paul E. Howard, Arthur L. Rubin and Jean E. Rubin

Book ID: 124963714
Publisher: Association for Symbolic Logic
Year: 1978
Tongue: English
Weight: 303 KB
Volume: 43
Category: Article
ISSN: 0022-4812
DOI: 10.2307/2273507

No coin nor oath required. For personal study only.

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## Abstract We show that the both assertions “in every vector space __B__ over a finite element field every subspace __V__ ⊆ __B__ has a complementary subspace __S__” and “for every family 𝒜 of disjoint odd sized sets there exists a subfamily ℱ={F~j~:j ϵω} with a choice function” together imply the