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Table Of Contents

Introduction to Dimension • Crowns, Splits, Stacks, Sums and Products • Characterization Problems for Posets, Lattices, Graphs, and Families of Sets • Hypergraph Coloring, Computational Complexity and Irreducible Posets • Planar Maps, and Convex Polytopes • Probabilistic Methods in Dimension Theory • Interval and Geometric Containment Orders • Greedy Dimension, Back-Tracking and Depth First Search • Products of Chains of Bounded Length • Large Minimal Realizers