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cs.IT2022
Weakly weighted generalised quasi-metric spaces and semilattices
Ilaria Castellano, Anna Giordano Bruno, Nicolò Zava
Motivated by recent applications to entropy theory in dynamical systems, we generalise notions introduced by Matthews and define weakly weighted and componentwisely weakly weighted…
math.GR2022
A pro- version of Sela's accessibility and Poincaré duality pro- groups
Ilaria Castellano, Pavel Zalesskii
We prove a pro- version of Sela's theorem stating that a finitely generated group is -acylindrically accessible. This result is then used to prove that pro-$p…
math.GR2022
Unimodular totally disconnected locally compact groups of rational discrete cohomological dimension one
Ilaria Castellano, Bianca Marchionna, Thomas Weigel
It is shown that a Stallings--Swan theorem holds in a totally disconnected locally compact (= t.d.l.c.) context (cf. Thm. B). More precisely, a compactly generated -b…