ON THE MAGNITUDES OF COMPACT SETS IN EUCLIDEAN SPACES

• Published in: American journal of mathematics Vol. 140; no. 2; pp. 449 - 494
• Main Authors: Barceló, Juan Antonio, Carbery, Anthony
• Format: Journal Article
• Language: English
• Published: Baltimore Johns Hopkins University Press 01.04.2018
• Subjects: Boundary value problems; Combinatorial analysis; Computational geometry; Convexity; Domains; Euclidean geometry; Euclidean space; Metric space; Rational functions

The notion of the magnitude of a metric space was introduced by Leinster and developed in works by Leinster, Meckes and Willerton, but the magnitudes of familiar sets in Euclidean space are only understood in relatively few cases. In this paper we study the magnitudes of compact sets in Euclidean sp...