Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimal universes   An inner model M is MINIMAL if there is a class A such that <M,A> is amenable
yet has no transitive proper elementary submodel. We study minimal universes in
the context of 0#. For example we prove: If 0# exists then there is an inner
model which is minimal and locally generic over L(i.e., every set in the inner
model is set-generic over L). This answers a question of Mack Stanley.

24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
3
The categories of this paper are: physics
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph