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Ramsey Property of Posets and Related Structures

We study several classes of finite posets equipped with linear orderings. We examine these classes according to the Ramsey and the ordering property. As an application we give several new extremely amenable groups of automorphisms of countable structures and compute several new universal minimal flows for such groups. The technique that we develop is also useful for studying classes of structures related to posets, such as quasi-orderings.

Identiferoai:union.ndltd.org:TORONTO/oai:tspace.library.utoronto.ca:1807/26238
Date17 February 2011
CreatorsSokic, Miodrag
ContributorsTodorcevic, Stevo
Source SetsUniversity of Toronto
Languageen_ca
Detected LanguageEnglish
TypeThesis

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