Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Lower consistency bounds for mutual stationarity with divergent
  uncountable cofinalities   We prove that the upper bounds for the consistency strength of certain
instances of mutual stationarity considered by Liu-Shelah~\cite{MR1469093} are
close to optimal. We also consider some related and, as it turns out, stronger
properties.

20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
23
The categories of this paper are: solv-int
16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
9
The categories of this paper are: nlin