* Galois connections and complete lattices
@ 2018-10-14 2:11 Joshua Meyers
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From: Joshua Meyers @ 2018-10-14 2:11 UTC (permalink / raw)
To: categories
Does anyone have a reference for the following fact?
Consider posets P and Q which intersect in a complete lattice L. Let
F:P-->L<=Q be the closure operator and G:Q-->L<=P be the kernel operator
corresponding to L. Then F and G form an Galois connection. Moreover,
every Galois connection is of this form (of course, the posets need not
actually intersect in L, it is enough that they have subposets which are
copies of L).
Joshua Meyers
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