Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond 2 Volume Hardback Set

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Gregory Cherlin

Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond 2 Volume Hardback Set

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Produktdetails

Verlag: Cambridge-Hitachi
Erscheinungstermin: 13. Oktober 2022
Englisch
Abmessung: 234mm x 158mm x 46mm
Gewicht: 1134g
ISBN-13: 9781009230186
ISBN-10: 1009230182
Artikelnr.: 75486590

Herstellerkennzeichnung
Libri GmbH
Europaallee 1
36244 Bad Hersfeld
gpsr@libri.de

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

Volume I: 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
Volume II: 18. Classification problems for small binary languages
19. Homogeneous 3-multi-graphs
20. Imprimitive homogeneous 2-multi-tournaments
21. 3-constrained homogeneous 2-multi-tournaments
22. Homogeneous 2-multi-tournaments: forbidden triangles
Conclusion
Appendix B. Open problems and some recent results
References for Volume II
Index.

Inhaltsangabe