Borsuk-Ulam type theorems for metric spaces
Metric Geometry
2025-01-22 v2 Algebraic Topology
Abstract
In this paper we study the problems of the following kind: For a pair of topological spaces and find sufficient conditions that under every continuous map a pair of sufficiently distant points is mapped to a single point.
Cite
@article{arxiv.1209.1249,
title = {Borsuk-Ulam type theorems for metric spaces},
author = {Arseniy Akopyan and Roman Karasev and Alexey Volovikov},
journal= {arXiv preprint arXiv:1209.1249},
year = {2025}
}