Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exeptional set estimates for the Hausdorff dimension of intersections   For Borel subsets A and B of the Euclidean n-space the intersection of A with
generic rotations and translations of B has often Hausdorff dimension at least
dim A + dim B - n. Estimates for the exceptional set of rotations are derived.

12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs