Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On k-invariants for $(\infty, n)$-categories   Every $(\infty, n)$-category can be approximated by its tower of homotopy
$(m, n)$-categories. In this paper, we prove that the successive stages of this
tower are classified by k-invariants, analogously to the classical Postnikov
tower for spaces. Our proof relies on an abstract analysis of Postnikov-type
towers equipped with k-invariants, and also yields a construction of
k-invariants for algebras over $\infty$-operads and enriched
$\infty$-categories.

12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
9
The categories of this paper are: nlin
14
The categories of this paper are: math-ph
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The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex