Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kurepa-trees and Namba-forcing   We show that compact cardinals and {\rm MM} are sensitive to $\lambda$-closed
forcings for arbitrarily large $\lambda$. This is done by adding 'regressive'
$\lambda$-Kurepa-trees in either case. We argue that the destruction of
regressive Kurepa-trees with {\rm MM} requires the use of Namba forcing.

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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
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The categories of this paper are: quant-ph
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: math-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: solv-int
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The categories of this paper are: q-bio
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The categories of this paper are: nucl-th