Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local connectivity of the Mandelbrot set at certain infinitely
  renormalizable points   We construct a subset of the Mandelbrot set which is dense on the boundary of
the Mandelbrot set and which consists of only infinitely renormalizable points
such that the Mandelbrot set is locally connected at every point of this
subset. We prove the local connectivity by finding bases of connected
neighborhoods directly.

36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph