5 papers
All mixed identities are singular in groups with no algebraicity
Paolo Marimon, Michael Pinsker
We show that if a group admits an action with no algebraicity then all of its mixed identities are singular. Previously, such groups were only known to be lawless by a theorem of A…
Minimal and intrinsic topologies on monoids of elementary embeddings
J. de la Nuez González, Zaniar Ghadernezhad, Paolo Marimon +1
To every -categorical structure one can associate two spaces of symmetries which determine the structure up to first-order bi-interpretability: the topological g…
A guide to topological reconstruction on endomorphism monoids and polymorphism clones
Paolo Marimon, Michael Pinsker
Various spaces of symmetries of a structure are naturally endowed with both an algebraic and a topological structure. For example, the automorphism group of a structure is, on top…
Three Fundamental Questions in Modern Infinite-Domain Constraint Satisfaction
Michael Pinsker, Jakub Rydval, Moritz Schöbi +2
The Feder-Vardi dichotomy conjecture for Constraint Satisfaction Problems (CSPs) with finite templates, confirmed independently by Bulatov and Zhuk, has an extension to certain wel…
Minimal operations over permutation groups
Paolo Marimon, Michael Pinsker
We classify the possible types of minimal operations above an arbitrary permutation group. Above the trivial group, a theorem of Rosenberg yields that there are five types of minim…