Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dimension in the realm of transseries   Let $\mathbb T$ be the differential field of transseries. We establish some
basic properties of the dimension of a definable subset of ${\mathbb T}^n$,
also in relation to its codimension in the ambient space ${\mathbb T}^n$. The
case of dimension $0$ is of special interest, and can be characterized both in
topological terms (discreteness) and in terms of the
Herwig-Hrushovski-Macpherson notion of co-analyzability. The proofs use results
by the authors from "Asymptotic Differential Algebra and Model Theory of
Transseries", the axiomatic framework for "dimension" in [L. van den Dries,
"Dimension of definable sets, algebraic boundedness and Henselian fields", Ann.
Pure Appl. Logic 45 (1989), no. 2, 189-209], and facts about co-analyzability
from [B. Herwig, E. Hrushovski, D. Macpherson, "Interpretable groups, stably
embedded sets, and Vaughtian pairs", J. London Math. Soc. (2003) 68, no. 1,
1-11].

7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int