Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hausdorff distance of univoque sets   Expansions in non-integer bases have been investigated abundantly since their
introduction by R\'enyi. It was discovered by Erd\H{o}s et al. that the sets of
numbers with a unique expansion have a much more complex structure than in the
integer base case. The present paper is devoted to the continuity properties of
these maps with respect to the Hausdorff metric.

11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
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The categories of this paper are: econ
3
The categories of this paper are: physics
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
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The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg