Equilateral sets in finite-dimensional normed spaces
Konrad J. Swanepoel (University of South Africa)
TL;DR
This paper explores the maximum size of equilateral sets in finite-dimensional normed spaces, providing an overview of known results and open problems in the area.
Contribution
It offers an expository review of the largest equilateral sets in finite-dimensional normed spaces, summarizing key findings and highlighting open questions.
Findings
Summarizes known bounds on equilateral set sizes
Identifies open problems in the field
Provides insights into geometric properties of normed spaces
Abstract
This is an expository paper on the largest size of equilateral sets in finite-dimensional normed spaces.
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Taxonomy
TopicsFixed Point Theorems Analysis · Computational Geometry and Mesh Generation · Mathematics and Applications