Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $u\tau$-Convergence in locally solid vector lattices   Let $x_\alpha$ be a net in a locally solid vector lattice $(X,\tau)$; we say
that $x_\alpha$ is unbounded $\tau$-convergent to a vector $x\in X$ if $\lvert
x_\alpha-x \rvert\wedge w \xrightarrow{\tau} 0$ for all $w\in X_+$. In this
paper, we study general properties of unbounded $\tau$-convergence (shortly,
$u\tau$-convergence). $u\tau$-Convergence generalizes unbounded norm
convergence and unbounded absolute weak convergence in normed lattices that
have been investigated recently. Besides, we introduce $u\tau$-topology and
study briefly metrizabililty and completeness of this topology.

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The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
34
The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
10
The categories of this paper are: q-bio
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg