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A Pigeonhole Property for Relational Structures

✍ Scribed by Anthony Bonato; Dejan Delić


Publisher
John Wiley and Sons
Year
1999
Tongue
English
Weight
271 KB
Volume
45
Category
Article
ISSN
0044-3050

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✦ Synopsis


Abstract

We study those relational structures S with the property (P) that each partition of S contains a block isomorphic to S. We show that the Fraïsse limits of parametric classes K. have property (P); over a binary language, every countable structure in K satisfying (P) along with a condition on 1‐extensions must be isomorphic to this limit.


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