Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher Dimensional Enrichment   Lyubashenko has described enriched 2-categories as categories enriched over
V-Cat, the 2-category of categories enriched over a symmetric monoidal V. I
have generalized this to the k-fold monoidal V. The symmetric case can easily
be recovered. The introduction of this paper proposes a recursive definition of
V-n-categories and their morphisms. Then I consider the special case of
V-2-categories and give the details of the proof that with their morphisms
these form the structure of a 3-category.

21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin