Partitions of groups and matroids into independent subsets
Тарас Онуфриевич Банах, Ігор Протасов · arXiv (Cornell University) · 2010
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.