Canonical functions: A proof via topological dynamics

Publikation: Beitrag in FachzeitschriftForschungsartikelBeigetragenBegutachtung

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

OriginalspracheEnglisch
Seiten (von - bis)36-45
Seitenumfang10
FachzeitschriftContributions to Discrete Mathematics : CDM
Jahrgang16
Ausgabenummer2
PublikationsstatusVeröffentlicht - 29 Juni 2021
Peer-Review-StatusJa

Externe IDs

ORCID /0000-0001-8228-3611/work/142241054

Schlagworte

Schlagwörter

  • Canonical function, Extremely amenable permuation group, Oligomorphic permutation group, Ramsey property, ω-categorical structure