Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rough Isometries of Lipschitz Function Spaces   We show that rough isometries between metric spaces X, Y can be lifted to the
spaces of real valued 1-Lipschitz functions over X and Y with supremum metric
and apply this to their scaling limits. For the inverse, we show how rough
isometries between X and Y can be reconstructed from structurally enriched
rough isometries between their Lipschitz function spaces.

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The categories of this paper are: nucl-ex
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The categories of this paper are: math-ph
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The categories of this paper are: cs
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The categories of this paper are: q-fin
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The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: supr-con
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The categories of this paper are: bayes-an
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The categories of this paper are: gr-qc