29 citations · 162 across the 50 of their papers we have counts for
18 papers · 1 filter
The semigroup of increasing functions on the rational numbers has a unique Polish topology
Michael Pinsker, Clemens Schindler
The set of increasing functions on the rational numbers, equipped with the composition operation, naturally forms a topological semigroup with respect to the topology of pointwise…
Pseudo-loop conditions
Pierre Gillibert, Julius Jonušas, Michael Pinsker
We initiate the systematic study of loop conditions of arbitrary finite width. Each loop condition is a finite set of identities of a particular shape, and satisfaction of these id…
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…
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…
More 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…
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…