3 papers
math.GR2025
The algebraic cheap rebuilding property
Kevin Li, Clara Loeh, Marco Moraschini +2
We present an axiomatic approach to combination theorems for various homological properties of groups and, more generally, of chain complexes. Examples of such properties include a…
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 -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…