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arXiv · 1809.06593

Smoothness filtration of the magnitude complex

Kiyonori Gomi
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Abstract

We introduce an intrinsic filtration to the magnitude chain complex of a metric space, and study basic properties of the associated spectral sequence of the magnitude homology. As an application, the third magnitude homology of the circle is computed.

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Kiyonori Gomi. 2018-09-18. Smoothness filtration of the magnitude complex. https://arxiv.org/abs/1809.06593

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