Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Topological Rigidity of good fractal necklaces   We introduce and characterize extremal 2-cuts for good fractal necklaces.
Using the characterization and the related topological properties of extremal
2-cuts, we prove that every good necklace has a unique necklace IFS in a
certain sense. Also, we prove that two good necklaces admit only rigid
homeomorphisms and thus the group of self-homeomorphisms of a good necklace is
countable. In addition, a certain weaker co-Hopfian property of good necklaces
is also obtained.

31
The categories of this paper are: ao-sci
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The categories of this paper are: q-alg
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The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
37
The categories of this paper are: supr-con
1
The categories of this paper are: cs
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: alg-geom
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: q-fin