Canonical functions: A proof via topological dynamics
Publikation: Beitrag in Fachzeitschrift › Forschungsartikel › Beigetragen › Begutachtung
Beitragende
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
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 36-45 |
| Seitenumfang | 10 |
| Fachzeitschrift | Contributions to Discrete Mathematics : CDM |
| Jahrgang | 16 |
| Ausgabenummer | 2 |
| Publikationsstatus | Veröffentlicht - 29 Juni 2021 |
| Peer-Review-Status | Ja |
Externe IDs
| ORCID | /0000-0001-8228-3611/work/142241054 |
|---|
Schlagworte
ASJC Scopus Sachgebiete
Schlagwörter
- Canonical function, Extremely amenable permuation group, Oligomorphic permutation group, Ramsey property, ω-categorical structure