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Explore the growth of normalized Betti numbers in the homology of finite covers corresponding to residual chains of finite index subgroups in compact CW complexes with residually finite fundamental groups. Delve into the relationships between this growth and concepts such as amenable category and minimal volume entropy. Learn about the joint research conducted by Sam Hughes, Sam Fisher, and Ian Leary on torsion homology growth and related topics in algebraic topology. Gain insights into the mathematical techniques used to analyze the behavior of homology in finite covers and its connections to other topological and geometric invariants.
