Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Intrinsically H\"older sections in metric spaces   We introduce a notion of intrinsically H\"older graphs in metric spaces.
Following a recent paper of Le Donne and the author, we prove some relevant
results as the Ascoli-Arzel\`a compactness Theorem, Ahlfors-David regularity
and the Extension Theorem for this class of sections. In the first part of this
note, we define suitable sets in order to obtain a vector space over
$\mathbb{R}$ or $\mathbb{C},$ a convex set and an equivalence relation for
intrinsically H\"older graphs. These last three properties are new also in the
Lipschitz case. Throughout the paper, we use basic mathematical tools.

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The categories of this paper are: nucl-ex
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The categories of this paper are: chem-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
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The categories of this paper are: cs
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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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: alg-geom
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The categories of this paper are: math-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: stat
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The categories of this paper are: patt-sol
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The categories of this paper are: comp-gas