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portada Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond: Volume 1, Ordered Graphs and Distanced Graphs: 53 (Lecture Notes in Logic, Series Number 53)
Type
Physical Book
Author
Publisher
Year
2022
Language
English
Pages
425
Format
Hardcover
Dimensions
23x15x2.6 cm
Weight
0.61 kg.
ISBN13
9781009229692
Categories

Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond: Volume 1, Ordered Graphs and Distanced Graphs: 53 (Lecture Notes in Logic, Series Number 53)

Gregory Cherlin (Author) · Cambridge University Press · Hardcover

Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond: Volume 1, Ordered Graphs and Distanced Graphs: 53 (Lecture Notes in Logic, Series Number 53) - Cherlin, Gregory

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Synopsis "Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond: Volume 1, Ordered Graphs and Distanced Graphs: 53 (Lecture Notes in Logic, Series Number 53) "

This is the first of two volumes by Professor Cherlin presenting the state of the art in the classification of homogeneous structures in binary languages and related problems in the intersection of model theory and combinatorics. Researchers and graduate students in the area will find in these volumes many far-reaching results and interesting new research directions to pursue. In this volume, Cherlin develops a complete classification of homogeneous ordered graphs and provides a full proof. He then proposes a new family of metrically homogeneous graphs, a weakening of the usual homogeneity condition. A general classification conjecture is presented, together with general structure theory and applications to a general classification conjecture for such graphs. It also includes introductory chapters giving an overview of the results and methods of both volumes, and an appendix surveying recent developments in the area. An extensive accompanying bibliography of related literature, organized by topic, is available online.

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