Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Iterated icons   We study the totality of categories weakly enriched in a monoidal bicategory
using a notion of enriched icon as 2-cells. We show that when the monoidal
bicategory in question is symmetric then this process can be iterated. We show
that starting from the symmetric monoidal bicategory Cat and performing the
construction twice yields a convenient symmetric monoidal bicategory of
partially strict tricategories. We show that restricting to the doubly
degenerate ones immediately gives the correct bicategory of "2-tuply monoidal
categories" missing from our earlier studies of the Periodic Table. We propose
a generalisation to all k-tuply monoidal n-categories.

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The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
5
The categories of this paper are: gr-qc
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph