Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Constructing Whitney sets via IFS with condensation   In 1935, Whitney constructed a smooth function for which the Morse-Sard
Theorem does not hold. Whitney's construction is closely related to certain
compact connected set, which is called Whitney set now. From then on, there are
a lot of works on Whitney sets. In this paper, we use IFS with condensation, a
notion introduced by Barnsley and Demko in 1985, to construct Whitney arcs and
Whitney sets. Our construction includes most early results as special cases.

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The categories of this paper are: quant-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: plasm-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: hep-ex
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga