Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Restrictions on Forcings That Change Cofinalities   In this paper we investigate some properties of forcing which can be
considered "nice" in the context of singularizing regular cardinals to have an
uncountable cofinality. We show that such forcing which changes cofinality of a
regular cardinal, cannot be too nice and must cause some "damage" to the
structure of cardinals and stationary sets. As a consequence there is no
analogue to the Prikry forcing, in terms of "nice" properties, when changing
cofinalities to be uncountable.

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The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: math-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: alg-geom
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The categories of this paper are: cs
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The categories of this paper are: nlin
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: cmp-lg