Pietro Capovilla

collaborators

2 papers

math.AT2025

Combination of open covers with $π_{1}$ -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…

math.AT2024

Amenable covers and relative bounded cohomology

Pietro Capovilla

We establish a relative version of Gromov's Vanishing Theorem in the presence of amenable open covers with small multiplicity, extending a result of Li, Löh, and Moraschini. Our ap…

Combination of open covers with π1​-constraints

Amenable covers and relative bounded cohomology

Combination of open covers with $π_{1}$ -constraints