Galois Connections

Some articles on galois connections:

Completeness (order Theory) - Completeness in Terms of Adjunctions
... completeness properties is provided through the concept of (monotone) Galois connections, i.e ... additional insights both in the nature of many completeness properties and in the importance of Galois connections for order theory ... of certain suprema or infima provides left or right adjoint parts of suitable Galois connections ...
Galois Connection - Examples - Order Theory - Lattices
... Further interesting examples for Galois connections are described in the article on completeness properties ... It turns out that the usual functions and are adjoints in two suitable Galois connections ... These considerations give some impression of the ubiquity of Galois connections in order theory ...

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