2 citations · 3 across the 7 of their papers we have counts for
12 papers
Continuous Fraisse Conjecture
Arnold Beckmann, Martin Goldstern, Norbert Preining
We investigate the relation of countable closed subsets of the reals with respect to continuous monotone embeddability; we show that there are exactly aleph_1 many equivalence clas…
Very many term clones in a very small variety
Martin Goldstern
We give an example of a finitely based locally finite variety which has uncountably many term clones. (Such varieties were known before.)
Analytic clones
Martin Goldstern
We use a method from descriptive set theory to investigate the two precomplete clones above the unary clone on a countable set.
Automorphisms and strongly invariant relations
Ferdinand Börner, Martin Goldstern, Saharon Shelah
We investigate characterizations of the Galois connection sInv-Aut between sets of finitary relations on a base set A and their automorphisms. In particular, for A=omega_1, we cons…
Clones from Creatures
Martin Goldstern, Saharon Shelah
A clone on a set X is a set of finitary operations on X which contains all the projections and is closed under composition. The set of all clones forms a complete lattice Cl(X) wit…
Completion of Semirings
Martin Goldstern
A semiring can be ``completed'' (i.e., embedded into a semiring in which all infinite sums are defined and satisfy some reasonable properties) iff this semiring can be naturally pa…