Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Finite Combinations of Baire Numbers   Let $\kappa$ be a regular cardinal. Consider the Baire numbers of the spaces
$(2^{\theta})_\kappa$ (functions from $\theta$ to 2 and the less than $\kappa$
topology) for various $\theta \geq \kappa$. Let l be the number of such
different Baire numbers. Models of set theory with l=1 or l=2 are known and it
is also known that l is finite. We show here that if $\kappa > \omega$, then l
could be any given finite number. We do not know whether the same is true for
$\kappa = \omega$.

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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: eess
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc
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The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: supr-con
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: acc-phys
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The categories of this paper are: q-fin
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The categories of this paper are: ao-sci
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The categories of this paper are: chem-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: dg-ga