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

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

Name: Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond: Volume 1, Ordered Graphs and Distanced Graphs: 53 (Lecture Notes in Logic, Series Number 53)
Brand: Cambridge University Press
Price: 86.68 GBP
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Mathematical Logic

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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.

Product Specifications

Brand: Cambridge University Press
Format: Hardcover
ASIN: 1009229699
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Foundations > Mathematical Logic
Domain: Amazon UK
Release Date: 07 July 2022
Listed Since: 09 March 2022

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

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