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Smocked Metric Spaces and their Tangent Cones by Sormani, Christina; Kazaras, Demetre; Afrifa, David; Antonetti, Victoria; Dinowitz, Moshe; Drillick, Hindy; Farahzad, Maziar; George, Shanell; Hepburn, Aleah Lydeatte; Huynh, Leslie Trang; Minichiello, Emilio; Pillati, Julinda Mujo; Rendla, Srivishnupreeth; Yamin, Ajmain is a scholarly article available to read on EtoBox.

What is Smocked Metric Spaces and their Tangent Cones about?

We introduce the notion of a smocked metric spaces and explore the balls and geodesics in a collection of different smocked spaces. We find their rescaled Gromov-Hausdorff limits and prove these tangent cones at infinity exist, are unique, and are normed spaces. We close with a variety of open questions suitable for advanced undergraduates, masters students, and doctoral students.

Author

Sormani, Christina; Kazaras, Demetre; Afrifa, David; Antonetti, Victoria; Dinowitz, Moshe; Drillick, Hindy; Farahzad, Maziar; George, Shanell; Hepburn, Aleah Lydeatte; Huynh, Leslie Trang; Minichiello, Emilio; Pillati, Julinda Mujo; Rendla, Srivishnupreeth; Yamin, Ajmain

Published

2019

Language

EN