A short proof of Gromov's filling inequality

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dc.creatorWenger, Stefan
dc.date2007-03-29
dc.date.accessioned2026-07-07T07:55:04Z
dc.date.available2026-07-07T07:55:04Z
dc.descriptionWe give a very short and rather elementary proof of Gromov's filling volume inequality for n-dimensional Lipschitz cycles (with integer and Z_2-coefficients) in $L^\infty$-spaces. This inequality is used in the proof of Gromov's systolic inequality for closed aspherical Riemannian manifolds and is often regarded as the difficult step therein.
dc.description4 pages
dc.identifierhttps://arxiv.org/abs/math/0703889
dc.identifierhttp://arxiv.org/abs/math/0703889
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/126844
dc.subjectDifferential Geometry
dc.subject53C23
dc.titleA short proof of Gromov's filling inequality
dc.typetext

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