Interpolation in ortholattices
Martin Goldstern
Abstract
If L is a complete ortholattice, f any partial function from Ln to L, then there is a complete ortholattice L* containing L as a subortholattice, and an ortholattice polynomial with coefficients in L* which represents f on Ln. Iterating this construction long enough yields a complete ortholattice in which every function can be interpolated by a polynomial on any set of small enough cardinality.
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