Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Canonical Functions: a proof via topological dynamics   Canonical functions are a powerful concept with numerous applications in the
study of groups, monoids, and clones on countable structures with Ramsey-type
properties. In this short note, we present a proof of the existence of
canonical functions in certain sets using topological dynamics, providing a
shorter alternative to the original combinatorial argument. We moreover present
equivalent algebraic characterisations of canonicity.

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The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: q-alg
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The categories of this paper are: bayes-an
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The categories of this paper are: adap-org
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The categories of this paper are: physics
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: cond-mat
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: math-ph