are operators on complete distributive lattices continuous?

Tobias Matzner · science forum beginner Joined: 11 Jun 2006 Posts: 1

I am working on operators op: L -> L where L is an infinite complete
lattice which is infinitly distributive. Now my question is, what do
I have to require of the lattice, that all such operators are
continuous (limit preserving), like it is known to be the case for
finite lattices. Or isn't that possible at all?

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Tobias Matzner *** eMail uy9g@rz.uni-karlsruhe.de

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