Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On dendrites, generated by polyhedral systems and their ramification
  points   The paper considers systems of contraction similarities in $\mathbb R^d$
sending a given polyhedron $P$ to polyhedra $P_i\subset P$, whose non-empty
intersections are singletons and contain the common vertices of those
polyhedra, while the intersection hypergraph of the system is acyclic. It is
proved that the attractor $K$ of such system is a dendrite in $\mathbb R^d$.
The ramification points of such dendrite fave finite order whose upper bound
depends only on the polyhedron $P$, and the set of the cut points of the
dendrite $K$ is equal to the dimension of the whole $K$ iff $K$ is a Jordan
arc.

29
The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess
16
The categories of this paper are: stat
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an