Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: There is a $+$-Ramsey \textsf{MAD} family   We answer an old question of Michael Hru\v{s}\'{a}k by constructing a
$+$-Ramsey \textsf{MAD} family without the need of any additional axioms beyond
$\mathsf{ZFC.}$ We also prove that every Miller-indestructible \textsf{MAD
}family is $+$-Ramsey, this improves a result of Michael Hru\v{s}\'{a}k.

25
The categories of this paper are: patt-sol
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The categories of this paper are: adap-org
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The categories of this paper are: cond-mat
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The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
0
The categories of this paper are: hep-ph
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int
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The categories of this paper are: hep-lat
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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: q-bio
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The categories of this paper are: alg-geom
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys