Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Quasisymmetrically co-Hopfian Sierpi\'nski Spaces and Menger Curve   A metric space $X$ is quasisymmetrically co-Hopfian if every quasisymmetric
embedding of $X$ into itself is onto. We construct the first examples of metric
spaces homeomorphic to the universal Menger curve and higher dimensional
Sierpi\'nski spaces, which are quasisymmetrically co-Hopfian. We also show that
the collection of quasisymmetric equivalence classes of spaces homeomorphic to
the Menger curve is uncountable. These results answer a problem and generalize
results of Merenkov from \cite{Mer:coHopf}.

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The categories of this paper are: eess
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: atom-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: acc-phys
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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: hep-th
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: alg-geom
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The categories of this paper are: q-bio