Gregory Cherlin

Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond: Volume 1, Ordered Graphs and Distanced Graphs (eBook, PDF)

• Format: PDF

Produktbeschreibung

First of two volumes presenting the state of the art in the classification of binary homogeneous structures and related problems.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 7. Juli 2022
• Englisch
• ISBN-13: 9781009229708
• Artikelnr.: 70911033

Autorenporträt

Gregory Cherlin is Distinguished Professor Emeritus at Rutgers University. He has worked on applications of model theory to algebra and combinatorics for half a century, and has published four books and over 100 articles on model theory and its applications.

Inhaltsangabe

1. Results
2. Methods
Part I. Homogeneous Ordered Graphs: 3. The catalog of homogeneous ordered graphs
4. The generically ordered local order
5. Ordered homogeneous graphs: Plan of the proof, Propositions I-IX
6. Ordered homogeneous graphs: Proposition I
7. Ordered homogeneous graphs: Proposition II
8. Ordered homogeneous graphs: Proposition III
9. Ordered homogeneous graphs: Proposition IV
10. Ordered homogeneous graphs: Proposition V
Part II. Metrically Homogeneous Graphs: 11. Metrically homogeneous graphs: preliminaries
12. Admissibility allows amalgamation
13. Triangle constraints and 4-triviality
14. Amalgamation requires admissibility
15. Local analysis
16. The bipartite case
17. Infinite diameter
Appendix A. Some recent advances
References for Volume I
Index.