Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Preserving Non-Null with Suslin+ forcing   We introduce the notion of effective Axiom A and use it to show that some
popular tree forcings are Suslin+. We introduce transitive nep and present a
simplified version of Shelah's "preserving a little implies preserving much":
If I is a Suslin ccc ideal (e.g. Lebesgue-null or meager) and P is a transitive
nep forcing (e.g. P is Suslin+) and P doesn't make any I-positive Borel set
small, then P doesn't make any I-positive set small.

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The categories of this paper are: bayes-an
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: q-alg
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The categories of this paper are: eess
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The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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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: dg-ga
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The categories of this paper are: comp-gas