Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Downward transference of mice and universality of local core models   If M is a proper class inner model of ZFC and omega_2^M=omega_2, then every
sound mouse projecting to omega and not past 0-pistol belongs to M. In fact,
under the assumption that 0-pistol does not belong to M, K^M \| omega_2 is
universal for all countable mice in V.
  Similarly, if M is a proper class inner model of ZFC, delta>omega_1 is
regular, (delta^+)^M = delta^+, and in V there is no proper class inner model
with a Woodin cardinal, then K^M \| delta is universal for all mice in V of
cardinality less than delta.

18
The categories of this paper are: econ
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat