2 papers
math.CO2023
Distances between realizations of order types
Boris Bukh, R. Amzi Jeffs
Any -tuple of points in the plane can be moved to any other -tuple by a continuous motion with at most intermediate changes of the order type. Even for tuples…
math.MG2023
Quantitative upper bounds on the Gromov-Hausdorff distance between spheres
Michael Harrison, R. Amzi Jeffs
The Gromov-Hausdorff distance between two metric spaces measures how far the spaces are from being isometric. It has played an important and longstanding role in geometry and shape…