Canonical functions: A proof via topological dynamics
Research output: Contribution to journal › Research article › Contributed › peer-review
Contributors
Abstract
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.
Details
Original language | English |
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Pages (from-to) | 36-45 |
Number of pages | 10 |
Journal | Contributions to Discrete Mathematics : CDM |
Volume | 16 |
Issue number | 2 |
Publication status | Published - 29 Jun 2021 |
Peer-reviewed | Yes |
External IDs
ORCID | /0000-0001-8228-3611/work/142241054 |
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Keywords
ASJC Scopus subject areas
Keywords
- Canonical function, Extremely amenable permuation group, Oligomorphic permutation group, Ramsey property, ω-categorical structure