Interpolation in ortholattices
Rings and Algebras
2007-05-23 v1
Abstract
If L is a complete ortholattice, f any partial function from L^n 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 L^n. 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.
Cite
@article{arxiv.math/0002237,
title = {Interpolation in ortholattices},
author = {Martin Goldstern},
journal= {arXiv preprint arXiv:math/0002237},
year = {2007}
}
Comments
6 pages. See also http://info.tuwien.ac.at/goldstern/papers/index.html#ortho