Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geometric arcs and fundamental groups of rigid spaces   We develop the notion of a geometric covering of a rigid space X, which
yields a much larger class of covering spaces than that studied previously by
de Jong. Geometric coverings of X are closed under disjoint unions and are
\'etale local on X. If X is connected, its geometric coverings form a tame
infinite Galois category, and hence are classified by a topological group. The
definition is based on the property of lifting of "geometric arcs," making it
similar to geometric coverings of schemes studied by Bhatt and Scholze as well
as semicoverings of topological spaces introduced by Brazas.

4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
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The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
16
The categories of this paper are: stat