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The ℓ∞-semi-norm on uniformly finite homology

Diana, Francesca ; Löh, Clara



Abstract

Uniformly finite homology is a coarse homology theory, defined via chains that satisfy a uniform boundedness condition. By construction, uniformly finite homology carries a canonical l(infinity)-semi-norm. We show that, for uniformly discrete spaces of bounded geometry, this semi-norm on uniformly finite homology in degree 0 with Z-coefficients allows for a new formulation of Whyte's rigidity ...

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