Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Quillen's Theorem A for strict $\infty$-categories I: the simplicial
  proof   The aim of this paper is to prove a generalization of the famous Theorem A of
Quillen for strict $\infty$-categories. This result is central to the homotopy
theory of strict $\infty$-categories developed by the authors. The proof
presented here is of a simplicial nature and uses Steiner's theory of augmented
directed complexes. In a subsequent paper, we will prove the same result by
purely $\infty$-categorical methods.

32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
30
The categories of this paper are: q-alg
25
The categories of this paper are: patt-sol
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The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc