The classification of countable homogeneous directed graphs and countable homogeneous n-tournaments

著者

    • Cherlin, Gregory L.

書誌事項

The classification of countable homogeneous directed graphs and countable homogeneous n-tournaments

Gregory L. Cherlin

(Memoirs of the American Mathematical Society, no. 621)

American Mathematical Society, 1998

大学図書館所蔵 件 / 19

この図書・雑誌をさがす

注記

"January 1998, volume 131, number 621 (first of 4 numbers)"

Includes bibliographical references and indexes

内容説明・目次

内容説明

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. It 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; and the first monograph on Lachlan's method.

目次

Results and open problems Homogeneous $2$-tournaments Homogeneous $n$-tournaments Homogeneous symmetric graphs Homogeneous directed graphs omitting $I_\infty$ Propositions $16$ to $20$ and MT $2.2$ Homogeneous directed graphs embedding $I_\infty$ Theorems 7.6-7.9 Appendix: Examples for richer languages Bibliography Index of Notation Index.

「Nielsen BookData」 より

関連文献: 1件中  1-1を表示

詳細情報

ページトップへ