✦ LIBER ✦

If vector spaces are projective modules then multiple choice holds

✍ Scribed by Paul Howard

Publisher: John Wiley and Sons
Year: 2005
Tongue: English
Weight: 90 KB
Volume: 51
Category: Article
ISSN: 0044-3050
DOI: 10.1002/malq.200410018

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✦ Synopsis

We show that the assertion that every vector space is a projective module implies the axiom of multiple choice and that the reverse implication does not hold in set theory weakened to permit the existence of atoms.