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April 23, 2010 / porton

Funcoids and reloids, a Galois connection

I proved that (\mathsf{FCD}) is the lower adjoint of (\mathsf{RLD})_{\mathrm{in}}.

Also from this follows that (\mathsf{FCD}) preserves all suprema and (\mathsf{RLD})_{\mathrm{in}} preserves all infima.

See Algebraic General Topology and specifically Funcoids and Reloids online article.

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