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.
| Identifer | oai:union.ndltd.org:LACETR/oai:collectionscanada.gc.ca:OTU.1807/26238 |
| Date | 17 February 2011 |
| Creators | Sokic, Miodrag |
| Contributors | Todorcevic, Stevo |
| Source Sets | Library and Archives Canada ETDs Repository / Centre d'archives des thèses électroniques de Bibliothèque et Archives Canada |
| Language | en_ca |
| Detected Language | English |
| Type | Thesis |
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