3 papers
math.LO2025
Fixed points on null and tame flows for groups of automorphisms
Alessandro Codenotti
Using a generalization of the Kechris-Pestov-Todorčević correspondence due to Nguyen Van Thé we obtain fixed point theorems for null and tame actions of groups of the form $\mathrm…
math.AC2024
Homological algebra of pro-Lie Polish abelian groups
Matteo Casarosa, Alessandro Codenotti, Martino Lupini
In this paper, we initiate the study of pro-Lie Polish abelian groups from the perspective of homological algebra. We extend to this context the type-decomposition of locally compa…
math.LO2023
Ranks in Ellis semigroups and model theory
Alessandro Codenotti, Daniel Max Hoffmann
We slightly generalize a notion of rank introduced by Glasner and Megrelishvili, which captures the oscillations of elements of Ellis semigroups, so that it can be applied to any c…