Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on kappa-freeness   In this short note we show that if lambda>aleph_1 is regular and lambda is
not the successor of a singular cardinal of cofinality aleph_0, and G is a
lambda-free abelian group of size lambda, then there is a free group G'
subseteq G of size lambda.

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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: hep-lat
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The categories of this paper are: mtrl-th
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The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
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The categories of this paper are: adap-org
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph