Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond: Volume 1, Ordered Graphs and Distanced Graphs by Gregory Cherlin
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.-
Effective Mathematics of the Uncountable
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Set Theory, Arithmetic, and Foundations of Mathematics
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Abstract Recursion and Intrinsic Complexity
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Descriptive Complexity, Canonisation, and Definable Graph Structure Theory
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Games, Scales and Suslin Cardinals
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Large Cardinals, Determinacy and Other Topics
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Logic Colloquium 2007
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Complexity of Infinite-Domain Constraint Satisfaction
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Lectures on Infinitary Model Theory
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Logic and Algebraic Structures in Quantum Computing
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Ordinal Definability and Recursion Theory
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Logic Colloquium 2005
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Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond: Volume 2, 3-Multi-graphs and 2-Multi-tournaments
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Stable Domination and Independence in Algebraically Closed Valued Fields
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A Comparison Process for Mouse Pairs
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Recursion Theory
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Descriptive Set Theory and Forcing
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A General Algebraic Semantics for Sentential Logics
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Bounded Variable Logics and Counting
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Model Theory of Fields
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Aspects of Incompleteness
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Logic Colloquium '95
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Logic Colloquium '90
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Fine Structure and Iteration Trees
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Logic Colloquium '96
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The Core Model Iterability Problem
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Quantifiers, Propositions and Identity
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A Framework for Priority Arguments
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Kurt Godel
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A Guide to NIP Theories
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The Cabal Seminar 4 Volume Hardback Set
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The Largest Suslin Axiom
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A Course in Model Theory
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Simple Theories and Hyperimaginaries
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Wadge Degrees and Projective Ordinals
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.
| SKU | Unavailable |
| ISBN 13 | 9781009229692 |
| ISBN 10 | 1009229699 |
| Title | Homogeneous Ordered Graphs, Metrically Homogeneous Graphs, and Beyond: Volume 1, Ordered Graphs and Distanced Graphs |
| Author | Gregory Cherlin |
| Series | Lecture Notes In Logic |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Cambridge University Press |
| Year published | 2022-07-07 |
| Number of pages | 386 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |