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math.RA2000
Clones on regular cardinals
Martin Goldstern, Saharon Shelah
We investigate the structure of the lattice of clones on an infinite set X. We first observe that ultrafilters naturally induce clones; this yields a simple proof of Rosenberg's th…
math.RA2000★ 4 cited
Lattices, interpolation, and set theory
Martin Goldstern
We review a few results concerning interpolation of monotone functions on infinite lattices, emphasizing the role of set-theoretic considerations. We also discuss a few open proble…
math.RA2000
Interpolation in ortholattices
Martin Goldstern
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 wi…