Partitions of groups and matroids into independent subsets
classification
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math.GR
keywords
independentsubsetsunderalgebraicallyanswerapproachcontinuumcountably
read the original abstract
Can the real line with removed zero be covered by countably many linearly (algebraically) independent subsets over the field of rationals? We use a matroid approach to show that an answer is "Yes" under the Continuum Hypothesis, and "No" under its negation.
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