Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On VC-minimal fields and dp-smallness   In this paper, we show that VC-minimal ordered fields are real closed. We
introduce a notion, strictly between convexly orderable and dp-minimal, that we
call dp-small, and show that this is enough to characterize many algebraic
theories. For example, dp-small ordered groups are abelian divisible and
dp-small ordered fields are real closed.

18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
27
The categories of this paper are: comp-gas
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
24
The categories of this paper are: dg-ga