Interpolation in ortholattices.
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Publication:5932596
DOI10.1007/S000120050202zbMATH Open1039.06004arXivmath/0002237OpenAlexW2027246163MaRDI QIDQ5932596
Publication date: 10 June 2001
Published in: Algebra Universalis (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/math/0002237
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