Intro -- Preface -- Contents -- Committees for Pattern Recognition: Infeasible Systems of Linear Inequalities, Hyperplane Arrangements, and Realizable Oriented Matroids -- 1. Oriented Matroids, the Pattern Recognition Problem, and Tope Committees -- 2. Boolean Intervals -- 3. Dehn-Sommerville Type Relations -- 4. Farey Subsequences -- 5. Blocking Sets of Set Families, and Absolute Blocking Constructions in Posets -- 6. Committees of Set Families, and Relative Blocking Constructions in Posets -- 7. Layers of Tope Committees -- 8. Three-Tope Committees -- 9. Halfspaces, Convex Sets, and Tope Committees -- 10. Tope Committees and Reorientations of Oriented Matroids -- 11. Topes and Critical Committees -- 12. Critical Committees and Distance Signals -- 13. Symmetric Cycles in the Hypercube Graphs -- Bibliography -- List of Notation -- Index.