1 citations · 1 across the 6 of their papers we have counts for
6 papers
The universal valued Abelian groups of Niemiec are Lévy, strongly exotic, extremely amenable, and is generically monothetic
Alessandro Codenotti, Martino Lupini
We prove various properties of the universal valued Abelian groups constructed by Niemiec, for and . First we show that t…
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…
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…
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…
Some examples of tame dynamical systems answering questions of Glasner and Megrelishvili
Alessandro Codenotti
Glasner and Megrelishvili proved that every continuous action of a topological group on a dendrite is tame. We produce two examples of an action on a dendrite which is not…
Projective Fraïssé limits and generalized Ważewski dendrites
Alessandro Codenotti, Aleksandra Kwiatkowska
We continue the study of projective Fraïssé limits of trees initiated by Charatonik and Roe and we construct many generalized Ważewski dendrites as the topological realization of a…