Linear independence without choice
نویسندگان
چکیده
منابع مشابه
Linear Independence and Choice
The notions of linear and metric independence are investigated in relation to the property: if U is a set of m + 1 independent vectors, and X is a set of m independent vectors, then adjoining some vector in U to X results in a set of m + 1 independent vectors. A weak countable choice axiom is introduced, in the presence of which linear and metric independence are equivalent. Proofs are carried ...
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ژورنال
عنوان ژورنال: Annals of Pure and Applied Logic
سال: 1999
ISSN: 0168-0072
DOI: 10.1016/s0168-0072(99)00030-5