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arXiv · 1809.07641

The pointed intrinsic flat distance between locally integral current spaces

Shu Takeuchi
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Abstract

In this note we define a distance between two pointed locally integral current spaces. We prove that a sequence of pointed locally integral current spaces converges with respect to this distance if and only if it converges in the sense of Lang-Wenger. This enables us to state the compactness theorem by Lang-Wenger for pointed locally integral current spaces in terms of a distance function.

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Shu Takeuchi. 2018-09-20. The pointed intrinsic flat distance between locally integral current spaces. https://doi.org/10.1142/s1793525320500259

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