Title
Simple structures axiomatized by almost sure theories.
Abstract
In this article we give a classification of the binary, simple, ω-categorical structures with SU-rank 1 and trivial algebraic closure. This is done both by showing that they satisfy certain extension properties, but also by noting that they may be approximated by the almost sure theory of some sets of finite structures equipped with a probability measure. This study give results about general almost sure theories, but also considers certain attributes which, if they are almost surely true, generate almost sure theories with very specific properties such as ω-stability or strong minimality.
Year
DOI
Venue
2016
10.1016/j.apal.2016.02.001
Annals of Pure and Applied Logic
Keywords
Field
DocType
03C30,03C45,03C13,60F20
Discrete mathematics,Combinatorics,Algebra,Algebraic closure,Mathematics,Binary number
Journal
Volume
Issue
ISSN
167
5
0168-0072
Citations 
PageRank 
References 
1
0.39
1
Authors
1
Name
Order
Citations
PageRank
Ove Ahlman131.57