Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Self-affine sets with fibered tangents   We study tangent sets of strictly self-affine sets in the plane. If a set in
this class satisfies the strong separation condition and projects to a line
segment for sufficiently many directions, then for each generic point there
exists a rotation $\mathcal O$ such that all tangent sets at that point are
either of the form $\mathcal O((\mathbb R \times C) \cap B(0,1))$, where $C$ is
a closed porous set, or of the form $\mathcal O((\ell \times \{ 0 \}) \cap
B(0,1))$, where $\ell$ is an interval.

32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
27
The categories of this paper are: comp-gas
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int