Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Cohen and Prikry Forcing Notions   We show that it is possible to add $\kappa^+-$Cohen subsets to $\kappa$ with
a Prikry forcing over $\kappa$. This answers a question from
\cite{HayutBenhanouGitik}. A strengthening of non-Galvin property is
introduced. It is shown to be consistent using a single measurable cardinal
which improves a previous result by S. Garti, S. Shelah, and the first author
\cite{BenhamouGartieShelah}. A situation with extender-based Prikry forcings is
examined. This relates to a question of H. Woodin.

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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: chem-ph
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The categories of this paper are: supr-con
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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: mtrl-th
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The categories of this paper are: physics
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The categories of this paper are: nucl-ex
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
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The categories of this paper are: cs
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The categories of this paper are: nucl-th
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The categories of this paper are: alg-geom