Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Komlos Properties in Banach Lattices   Several Koml\'os like properties in Banach lattices are investigated. We
prove that $C(K)$ fails the $oo$-pre-Koml\'os property, assuming that the
compact Hausdorff space $K$ has a nonempty separable open subset $U$ without
isolated points such that every $u\in U$ has countable neighborhood base. We
prove also that for any infinite dimensional Banach lattice $E$ there is an
unbounded convex $uo$-pre-Koml\'os set $C\subseteq E_+$ which is not
$uo$-Koml\'os.

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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-th
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The categories of this paper are: q-fin
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: chem-ph
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The categories of this paper are: cs
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The categories of this paper are: eess