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Amenability and Unique Ergodicity of Automorphism Groups
that there is a one-to-one correspondence between Fra ss e classes and Fra ss e structures: the age of each Fra ss e structure is a Fra ss e class, and each Fra ss e class is the age of a Fra ss e structure unique up to isomorphism. For Ksuch a class, we write Flim(K) for the associated structure, called the Fra ss [PDF]
A Friendly Introduction to Ehrenfeucht-Fra ss e Games
A Friendly Introduction to Ehrenfeucht-Fra ss e Games Bryan W. Roberts January 2, 2009 Abstract Assuming some basic familiarity with ordinal arithmetic, we provide a friendly introduction to the theory of Ehrenfeucht-Fra ss e games. 1 What Is An Ehrenfeucht-Fra ss e Game? Ehrenfeucht-Fra ss e (EF) games were rst developed in the 50’s and 60[PDF]
list is the age of a computable structure. We focus particularly on the Fra ss e limit. We also show that degree spectra of relations on a su ciently nice Fra ss e limit are always upward closed unless the relation is de nable by a quanti er-free formula. We give some su cient or necessary conditions for a Fra ss e limit to be spectrally universal.[PDF]
n ,C ,,C U n - CiteSeerX
Sauer: Appendix in: Theory of Relations, by R. Fra¨ısse, Revised Edition, in:´ Studies in Logic and the Foundations of Mathematics 145, North Holland, 2000, ISBN 0–444-50542–3, CV 0.[PDF]
ALEX KRUCKMAN - matheley
This theory is countably categorical, meaning that it has a unique countable model up to isomorphism. This model is the Rado graph R, a countably in nite graph which re ects all of the properties which are almost-surely true of large nite graphs. Rcan be constructed as the Fra ss e limit of G: it is universal, in the sense that it contains an[PDF]
Ramsey properties of nite measure algebras and topological
Fix a countable signature L. A Frasse class in Lis a class of nite structures in Lwhich contains structures of arbitrarily large ( nite) cardinality, contains only countably many structures, up to isomorphism, and satis es the following proper- ties: (i) (Hereditary Property { HP) If B 2Kand A B, then A 2K.
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