The Classification of Countable Homogeneous Directed Graphs and Countable Homogeneous N-Tournaments

The Classification of Countable Homogeneous Directed Graphs and Countable Homogeneous N-Tournaments

by Gregory L. Cherlin
     
 

ISBN-10: 0821808362

ISBN-13: 9780821808368

Pub. Date: 03/02/1998

Publisher: American Mathematical Society

In this book, Ramsey theoretic methods introduced by Lachlan are applied to classify the countable homogeneous directed graphs. This is an uncountable collection, and this book presents the first explicit classification result covering an uncountable family. The author's aim is to demonstrate the potential of Lachlan's method for systematic use. Features:

Overview

In this book, Ramsey theoretic methods introduced by Lachlan are applied to classify the countable homogeneous directed graphs. This is an uncountable collection, and this book presents the first explicit classification result covering an uncountable family. The author's aim is to demonstrate the potential of Lachlan's method for systematic use. Features: Interface between combinatorics and model theory Unusual use of Ramsey's theorem to classify structures An extension of an already elaborate branch of model theory The first monograph on Lachlan's method

Product Details

ISBN-13:
9780821808368
Publisher:
American Mathematical Society
Publication date:
03/02/1998
Series:
Memoirs of the American Mathematical Society Series, #131
Pages:
161

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