Clara Loeh

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math.AT2025

The cheap embedding principle: Dynamical upper bounds for homology growth

Kevin Li, Clara Loeh, Marco Moraschini +2

We provide upper bounds for logarithmic torsion homology growth and Betti number growth of groups, phrased in the language of measured group theory.

math.AT2025

Combination of open covers with $I ¨ _{1}$ -constraints

Pietro Capovilla, Kevin Li, Clara Loeh

Let~ $G$ be a group and let~ $F$ be a family of subgroups of~ $G$ . The generalised Lusternik--Schnirelmann category~ $cat_{F} (G)$ is the minimal cardin…

The cheap embedding principle: Dynamical upper bounds for homology growth

Combination of open covers with I¨1​-constraints

Combination of open covers with $I ¨ _{1}$ -constraints