Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An Extension of the Baire Property   The purpose of this paper is to define for every Polish space $X$ a class of
sets, the $EBP(X)$-sets or the extended Baire property sets, to work out many
properties of the $EBP(X)$-sets and to show their usefulness in analysis. For
example, a proper generalization of the Pettis Theorem is proved in this
context that furnishes a new automatic continuity result for Polish groups. The
name extended Baire property sets is reasonable since $EBP(X)$ contains the
Baire property sets $BP(X)$ and it is consistent with ZFC that the containment
is proper.

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The categories of this paper are: plasm-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: funct-an
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: physics
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The categories of this paper are: atom-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: econ
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc