Absolutely continuous functions with values in metric spaces

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We present a general theory of absolutely continuous paths with values in metric spaces using the notion of metric derivatives. Among other results, we prove analogues of the Banach-Zarecki and Vallee Poussin theorems.
9 pages

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Classical Analysis and ODEs, Metric Geometry, 26A46; 26E20

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http://salesiana.dossiersoluciones.com/handle/123456789/106237

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0512340
 http://arxiv.org/abs/math/0512340

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arXiv