Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Digital Hopf Construction   Various concepts and constructions in homotopy theory have been defined in
the digital setting. Although there have been several attempts at a definition
of a fibration in the digital setting, robust examples of these digital
fibrations are few and far between. In this paper, we develop a digital Hopf
fibration within the category of tolerance spaces. By widening our category to
that of tolerance spaces, we are able to give a construction of this digital
Hopf fibration which mimics the smooth setting.

31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
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The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
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The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
10
The categories of this paper are: q-bio
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex