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arXiv · 2105.00138

SWIF Convergence of Smocked Metric Spaces

M. Dinowitz·H. Drillick·M. Farahzad·C. Sormani·A. Yamin
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Abstract

In this paper we explore a special class of metric spaces called smocked metric spaces and study their tangent cones at infinity. We prove that under the right hypotheses, the rescaled limits of balls converge in both the Gromov-Hausdorff and Intrinsic Flat sense to normed spaces. This paper will be applied in upcoming work by Kazaras and Sormani concerning Gromov's conjectures on the properties of GH and SWIF limits of Riemannian manifolds with positive scalar curvature.

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M. Dinowitz, H. Drillick, M. Farahzad, C. Sormani, A. Yamin. 2021-05-01. SWIF Convergence of Smocked Metric Spaces. https://arxiv.org/abs/2105.00138

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