Singular (Lipschitz) homology and homology of integral currents

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We 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 $H_n(X)$.
20 pages, 1 figure

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Differential Geometry, Metric Geometry

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http://salesiana.dossiersoluciones.com/handle/123456789/221123

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0902.3831
 http://arxiv.org/abs/0902.3831

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arXiv