Products of Snowflaked Euclidean Lines Are Not Minimal for Looking Down

We show that products of snowflaked Euclidean lines are not minimal for looking down. This question was raised in Fractured fractals and broken dreams, Problem 11.17, by David and Semmes. The proof uses arguments developed by Le Donne, Li and Rajala to prove that the Heisenberg group is not minimal...

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Bibliographic Details
Main Authors: Joseph Matthieu, Rajala Tapio
Format: Article
Language:English
Published: De Gruyter 2017-11-01
Series:Analysis and Geometry in Metric Spaces
Subjects:
Online Access:https://doi.org/10.1515/agms-2017-0005