As a first comprehensive overview on Farey sequences and subsequences this monograph is
intended as a reference for anyone looking for specific material or formulas related to the
subject. Duality of subsequences and maps between them are discussed and explicit proofs are
shown in detail. From the ContentBasic structural and enumerative properties of Farey sequences
Collective decision making Committee methods in pattern recognition Farey duality Farey
sequence Fundamental Farey subsequences Monotone bijections between Farey subsequences
