Canonical functions: a proof via topological dynamics
DOI:
https://doi.org/10.11575/cdm.v16i2.71724Abstract
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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Copyright (c) 2021 Michael Pinsker, Manuel Bodirsky
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