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Properties of the Intrinsic Flat Distance by Portegies, J.; Sormani, C. is a scholarly article available to read on EtoBox.

What is Properties of the Intrinsic Flat Distance about?

Here we explore a variety of properties of intrinsic flat convergence. We introduce the sliced filling volume and interval sliced filling volume and explore the relationship between these notions, the tetrahedral property and the disappearance of points under intrinsic flat convergence. We prove two new Gromov-Hausdorff and intrinsic flat compactness theorems including the Tetrahedral Compactness Theorem. Much of the work in this paper builds upon Ambrosio-Kirchheim's Slicing Theorem combined with an adapted version Gromov's Filling Volume.

Author

Portegies, J.; Sormani, C.

Published

2012

Language

EN