Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Accessibility and presentability in 2-categories   We outline a definition of accessible and presentable objects in a 2-category
$\mathcal K$ endowed with a "KZ context", that is to say a pair of
well-interacting lax-idempotent monads; this perspective suggests a unified
treatment of many "Gabriel-Ulmer like" theorems, asserting how presentable
objects arise as reflections of generating ones. We outline the notion of
"(Gabriel-Ulmer) envelope" for a KZ context, sufficient to concoct
Gabriel-Ulmer duality. We end the paper with a roundup of examples, involving
classical (set-based and enriched), low dimensional and a perspective for
future work, rooted in higher category theory and homotopy.

31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs