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arXiv · 2303.13629

Extensions of BV compactness criteria

Helge Kristian Jenssen
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Abstract

Helly's selection theorem provides a criterion for compactness of sets of single-variable functions with bounded pointwise variation. Fra{\v{n}}kov{\'a} has given a proper extension of Helly's theorem to the setting of single-variable regulated functions. We show how a similar approach yields extensions of the standard compactness criterion for multi-variable functions of bounded variation.

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Helge Kristian Jenssen. 2023-03-23. Extensions of BV compactness criteria. https://arxiv.org/abs/2303.13629

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