The cheap embedding principle: Dynamical upper bounds for homology growth

We provide upper bounds for logarithmic torsion homology growth and Betti number growth of groups, phrased in the language of measured group theory.

Publication Details

Journal
ArXiv.org
Published
2025-08-02
Primary Topic
Geometric and Algebraic Topology
Type
article
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article

The cheap embedding principle: Dynamical upper bounds for homology growth

ArXiv.org
Geometric and Algebraic Topology
article

The cheap embedding principle: Dynamical upper bounds for homology growth

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Abstract

We provide upper bounds for logarithmic torsion homology growth and Betti number growth of groups, phrased in the language of measured group theory.

ArXiv.org
Decent work and economic growth
Openalex Percentile: Top 42%
Geometric and Algebraic Topology
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The cheap embedding principle: Dynamical upper bounds for homology growth · ArXiv.org (2025) | TGRS Research Map | TGRS