Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the connectedness of planar self-affine sets   In this paper, we consider the connectedness of planar self-affine set
$T(A,\mathcal{D})$ arising from an integral expanding matrix $A$ with
characteristic polynomial $f(x)=x^2+bx+c$ and a digit set
$\mathcal{D}=\{0,1,\dots, m\}v$. The necessary and sufficient conditions only
depending on $b,c,m$ are given for the $T(A,\mathcal{D})$ to be connected.
Moreover, we also consider the case that ${\mathcal D}$ is non-consecutively
collinear.

31
The categories of this paper are: ao-sci
22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph