Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Partitions of groups and matroids into independent subsets   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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The categories of this paper are: supr-con
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: eess
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The categories of this paper are: funct-an
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The categories of this paper are: nucl-ex
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: hep-th
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The categories of this paper are: astro-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc