Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hyperconvexity and Tight Span Theory for Diversities   The tight span, or injective envelope, is an elegant and useful construction
that takes a metric space and returns the smallest hyperconvex space into which
it can be embedded. The concept has stimulated a large body of theory and has
applications to metric classification and data visualisation. Here we introduce
a generalisation of metrics, called diversities, and demonstrate that the rich
theory associated to metric tight spans and hyperconvexity extends to a
seemingly richer theory of diversity tight spans and hyperconvexity.

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The categories of this paper are: physics
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The categories of this paper are: funct-an
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
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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: cs
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
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The categories of this paper are: gr-qc
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The categories of this paper are: patt-sol
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The categories of this paper are: astro-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: q-bio