4 papers
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…
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.
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…
The Serre spectral sequence in bounded cohomology
Kevin Li, Marco Moraschini, George Raptis
We construct the analogue of the Serre spectral sequence for the bounded cohomology of simplicial sets with seminormed local coefficients. As applications, we obtain a (non-isometr…