8 citations · 8 across the 3 of their papers we have counts for
3 papers
math.AT2025
Combination of open covers with -constraints
Pietro Capovilla, Kevin Li, Clara Loeh
Let~ be a group and let~ be a family of subgroups of~. The generalised Lusternik--Schnirelmann category~ 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…
math.AT2020★ 8 cited
Amenable category and complexity
Pietro Capovilla, Clara Loeh, Marco Moraschini
Amenable category is a variant of the Lusternik-Schnirelman category, based on covers by amenable open subsets. We study the monotonicity problem for degree-one maps and amenable c…