Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Distances on a masure (affine ordered hovel)   A masure (a.k.a affine ordered hovel) I is a generalization of the
Bruhat-Tits building that is associated to a split Kac-Moody group G over a
non-archimedean local field. This is a union of affine spaces called
apartments. When G is a reductive group, I is a building and there is a
G-invariant distance inducing a norm on each apartment. In this paper, we study
distances on I inducing the affine topology on each apartment. We show that
some properties (completeness, local compactness, ...) cannot be satisfyed when
G is not reductive. Nevertheless, we construct distances such that each element
of G is a continuous automorphism of I.

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The categories of this paper are: hep-lat
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The categories of this paper are: nlin
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The categories of this paper are: mtrl-th
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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: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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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: acc-phys
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The categories of this paper are: econ
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The categories of this paper are: supr-con