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Mathematics of Ramsey Theory

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Cover of 'Mathematics of Ramsey Theory'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction Ramsey Theory Old and New
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    Chapter 2 Problems and Results on Graphs and Hypergraphs: Similarities and Differences
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    Chapter 3 Note on Canonical Partitions
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    Chapter 4 On Size Ramsey Number of Paths, Trees and Circuits. II
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    Chapter 5 On the Computational Complexity of Ramsey—Type Problems
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    Chapter 6 Constructive Ramsey Bounds and Intersection Theorems for Sets
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    Chapter 7 Ordinal Types in Ramsey Theory and Well-Partial-Ordering Theory
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    Chapter 8 Partite Construction and Ramsey Space Systems
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    Chapter 9 Graham-Rothschild Parameter Sets
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    Chapter 10 Shelah’s Proof of the Hales-Jewett Theorem
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    Chapter 11 Partitioning Topological Spaces
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    Chapter 12 Topological Ramsey Theory
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    Chapter 13 Ergodic Theory and Configurations in Sets of Positive Density
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    Chapter 14 Topics in Euclidean Ramsey Theory
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    Chapter 15 On Pisier Type Problems and Results (Combinatorial Applications to Number Theory)
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    Chapter 16 Combinatorial Statements Independent of Arithmetic
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    Chapter 17 Boolean Complexity and Ramsey Theorems
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    Chapter 18 Uncrowded Graphs
Attention for Chapter 5: On the Computational Complexity of Ramsey—Type Problems
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