Adjunctions and Galois Connections: Origins, History and Development.- Categorical Galois Theory: Revision and Some Recent Developments.- The Polarity between Approximation and Distribution.- Galois Connections and Complete Sublattices.- Galois Connections for Operations and Relations.- Galois Connections and Polynomial Completeness.- Q-Independence and Weak Automorphisms.- A Survey of Clones Closed Under Conjugation.- Galois Connections for Partial Algebras.- Complexity of Terms and the Galois Connection Id-Mod.- Iterated Galois Connections in Arithmetic and Linguistics.- Deductive Systems and Galois Connections.- A Galois Correspondence for Digital Topology.- Galois Connections in Category Theory, Topology and Logic.- Dyadic Mathematics — Abstractions from Logical Thought.
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From the reviews: "The book under review is the first one fully dedicated to Galois connections and adjunctions. … I recommend this valuable collection to everybody involved in algebraic research and/or teaching algebra in higher education." (Béla Csákány, Acta Scientiarum Mathematicarum, Vol. 71, 2005)
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