29 citations · 162 across the 50 of their papers we have counts for
4 papers · 1 filter
The reducts of equality up to primitive positive interdefinability
Manuel Bodirsky, Hubie Chen, Michael Pinsker
We initiate the study of reducts of relational structures up to primitive positive interdefinability: After providing the tools for such a study, we apply these tools in order to o…
Ideal clones: Solution to a problem of Czedli and Heindorf
Martin Goldstern, Michael Pinsker
Given an infinite set X and an ideal I of subsets of X, the set of all finitary operations on X which map all (powers of) I-small sets to I-small sets is a clone. In a 2001 article…
Clones from ideals
Mathias Beiglböck, Martin Goldstern, Lutz Heindorf +1
On an infinite base set X, every ideal of subsets of X can be associated with the clone of those operations on X which map small sets to small sets. We continue earlier investigati…
Sublattices of the lattice of local clones
Michael Pinsker
We investigate the complexity of the lattice of local clones over a countably infinite base set. In particular, we prove that this lattice contains all algebraic lattices with at m…