Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Diamonds, Compactness, and Measure Sequences   We establish the consistency of the failure of the diamond principle on a
cardinal $\kappa$ which satisfies a strong simultaneous reflection property.
The result is based on an analysis of Radin forcing, and further leads to a
characterization of weak compactness of $\kappa$ in a Radin generic extension.

17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
19
The categories of this paper are: eess