Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasi-2-Segal sets   We show that the 2-Segal spaces (also called decomposition spaces) of
Dyckerhoff-Kapranov and G\'alvez-Kock-Tonks have a natural analogue within
simplicial sets, which we call quasi-2-Segal sets, and that the two ideas enjoy
a similar relationship as the one Segal spaces have with quasi-categories. In
particular, we construct a model structure on the category of simplicial sets
whose fibrant objects are the quasi-2-Segal sets which is Quillen equivalent to
a model structure for complete 2-Segal spaces (where our notion of completeness
comes from one of the equivalent characterizations of completeness for Segal
spaces). We also prove a path space criterion, which says that a simplicial set
is a quasi-2-Segal set if and only if its path spaces (also called d\'ecalage)
are quasi-categories, as well as an edgewise subdivision criterion.

15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
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The categories of this paper are: bayes-an
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The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
1
The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: solv-int