Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Superstability and Symmetry   This paper continues the study of superstability in abstract elementary
classes (AECs) satisfying the amalgamation property. In particular, we consider
the definition of $\mu$-superstability which is based on the local character
characterization of superstability from first order logic. Not only is
$\mu$-superstability a potential dividing line in the classification theory for
AECs, but it is also a tool in proving instances of Shelah's Categoricity
Conjecture.
  In this paper, we introduce a formulation, involving towers, of symmetry over
limit models for $\mu$-superstable abstract elementary classes. We use this
formulation to gain insight into the problem of the uniqueness of limit models
for categorical AECs.

14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
11
The categories of this paper are: hep-lat
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The categories of this paper are: hep-ex
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The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th