Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Trees and stationary reflection at double successors of regular
  cardinals   We obtain an array of consistency results concerning trees and stationary
reflection at double successors of regular cardinals $\kappa$, updating some
classical constructions in the process. This includes models of
$\mathsf{CSR}(\kappa^{++})\wedge \mathsf{TP}(\kappa^{++})$ (both with and
without $\mathsf{AP}(\kappa^{++})$) and models of the conjunctions
$\mathsf{SR}(\kappa^{++}) \wedge \mathsf{wTP}(\kappa^{++}) \wedge
\mathsf{AP}(\kappa^{++})$ and $\neg \mathsf{AP}(\kappa^{++}) \wedge
\mathsf{SR}(\kappa^{++})$ (the latter was originally obtained in joint work by
Krueger and the first author \cite{GilKru:8fold}, and is here given using
different methods). Analogs of these results with the failure of
$\mathsf{SH}(\kappa^{++})$ are given as well. Finally, we obtain all of our
results with an arbitrarily large $2^\kappa$, applying recent joint work by
Honzik and the third author.

10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn