Published March 2012 | Version public
Journal Article

Ramsey Properties of Finite Posets II

  • 1. ROR icon California Institute of Technology

Abstract

We classify Fraïssé classes of finite posets with convex linear orderings with respect to the Ramsey property and extend the list of extremely amenable groups and universal minimal flows thanks to a theory developed by Kechris et al. (Geom Funct Anal 15:106–189, 2005). For the structures from the Schmerl list for which this technique is not applicable, we provide a direct calculation of universal minimal flows.

Additional Information

© 2011 Springer Science+Business Media B.V. Received: 28 December 2009. Accepted: 3 January 2011. Published online: 19 January 2011. The author is extremely grateful to Stevo Todorčević for an introduction to the subject and a number of conversations. The author is grateful to the referee for pointing out many errors in earlier versions of this paper and suggesting improvements. This paper contains some material from the author's doctoral thesis (University of Toronto).

Additional details

Identifiers

Eprint ID
29781
DOI
10.1007/s11083-011-9196-2
Resolver ID
CaltechAUTHORS:20120320-090013382

Dates

Created
2012-03-20
Created from EPrint's datestamp field
Updated
2021-11-09
Created from EPrint's last_modified field