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arXiv · 1010.1359

Partitions of groups and matroids into independent subsets

Taras Banakh·Igor Protasov
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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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Taras Banakh, Igor Protasov. 2010-10-07. Partitions of groups and matroids into independent subsets. https://arxiv.org/abs/1010.1359

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