Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A combinatorial Fredholm module on self-similar sets built on $n$-cubes   We construct a Fredholm module on self-similar sets such as the Cantor dust,
the Sierpinski carpet and the Menger sponge. Our construction is a higher
dimensional analogue of Connes' combinatorial construction of the Fredholm
module on the Cantor set. We also calculate the Dixmier trace of two operators
induced by the Fredholm module.

21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
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The categories of this paper are: nucl-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: chem-ph
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The categories of this paper are: funct-an
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The categories of this paper are: eess
9
The categories of this paper are: nlin
1
The categories of this paper are: cs