Galois Connections and Applications

This book presents the main ideas of General Galois Theory as a generalization of Classical Galois Theory. It sketches the development of Galois connections through the last three centuries. Examples of Galois connections as powerful tools in Category Theory and Universal Algebra are given. Applicat [...]
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This book presents the main ideas of General Galois Theory as a generalization of Classical Galois Theory. It sketches the development of Galois connections through the last three centuries. Examples of Galois connections as powerful tools in Category Theory and Universal Algebra are given. Applications of Galois connections in Linguistic and Data Analysis are presented.
The target audience are researchers in Mathematics, Computer Science, Mathematical Linguistic and students on the graduate level. This is the only book describing the use of Galois connections in a wide field of branches of Mathematics and outside of Mathematics