29 citations · 162 across the 50 of their papers we have counts for
4 papers · 1 filter
A closed algebra with a non-Borel clone and an ideal with a Borel clone
Martin Goldstern, Michael Pinsker, Saharon Shelah
Algebras on the natural numbers and their clones of term operations can be classified according to their descriptive complexity. We give an example of a closed algebra which has on…
Reducts of the random partial order
Péter Pál Pach, Michael Pinsker, Gabriella Pluhár +2
We determine, up to the equivalence of first-order interdefinability, all structures which are first-order definable in the random partial order. It turns out that these structures…
Universality of the lattice of transformation monoids
Michael Pinsker, Saharon Shelah
The set of all transformation monoids on a fixed set of infinite cardinality λ, equipped with the order of inclusion, forms a complete algebraic lattice Mon(λ) with 2^λ compact ele…
Reducts of Ramsey structures
Manuel Bodirsky, Michael Pinsker
One way of studying a relational structure is to investigate functions which are related to that structure and which leave certain aspects of the structure invariant. Examples are…