Singular (Lipschitz) homology and homology of integral currents

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dc.creatorRiedweg, Christian
dc.creatorSchäppi, Daniel
dc.date2009-02-23
dc.date.accessioned2026-07-07T12:45:34Z
dc.date.available2026-07-07T12:45:34Z
dc.descriptionWe compare the homology groups $H_n ^{IC}(X)$ of the chain complex of integral currents with compact support of a metric space $X$ with the singular Lipschitz homology $H^L_n (X)$ and with ordinary singular homology. If $X$ satisfies certain cone inequalities all these homology theories coincide. On the other hand, for the Hawaiian Earring the homology of integral currents differs from the singular Lipschitz homology and it differs also from the classical singular homology $H_n(X)$.
dc.description20 pages, 1 figure
dc.identifierhttps://arxiv.org/abs/0902.3831
dc.identifierhttp://arxiv.org/abs/0902.3831
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221123
dc.subjectDifferential Geometry
dc.subjectMetric Geometry
dc.titleSingular (Lipschitz) homology and homology of integral currents
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