Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Structure theorems above a strongly compact cardinal   While many inner model theoretic combinatorial principles are incompatible
with large cardinal axioms, on some rare occasions, large cardinals actually
imply that the structure of the universe of sets is analogous to the canonical
inner models. This note provides two new instances of this phenomenon.

20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
15
The categories of this paper are: nucl-ex
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph