Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Smoothness filtration of the magnitude complex   We introduce an intrinsic filtration to the magnitude chain complex of a
metric space, and study basic properties of the associated spectral sequence of
the magnitude homology. As an application, the third magnitude homology of the
circle is computed.

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The categories of this paper are: cond-mat
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The categories of this paper are: hep-ex
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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: comp-gas
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The categories of this paper are: stat
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: funct-an
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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: patt-sol
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The categories of this paper are: bayes-an