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arXiv · 1905.03382

A Henstock-Kurzweil type integral on 1 dimensional integral currents

Antoine Julia
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Abstract

We define a non-absolutely convergent integration on integral currents of dimension 1 in Euclidean space. This integral is closely related to the Henstock-Kurzweil and Pfeffer Integrals. Using it, we prove a generalized Fundamental Theorem of Calculus on these currents. A detailed presentation of Henstock-Kurzweil Integration is given in order to make the paper accessible to non-specialists.

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Antoine Julia. 2019-05-08. A Henstock-Kurzweil type integral on 1 dimensional integral currents. https://arxiv.org/abs/1905.03382

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