English

Kernels, Distances, and Bridges

General Topology 2025-03-19 v1

Abstract

The purpose of this paper is to study more general real-valued functions of two variables than just metrics on a set X. We concentrate mainly on the classes of distances and almost distances. We also introduce the notion of a bridge on the disjoint union of two sets and show that it induces a symmetric distance on the disjoint union.

Keywords

Cite

@article{arxiv.2503.13622,
  title  = {Kernels, Distances, and Bridges},
  author = {H. Movahedi-Lankarani and R. Wells},
  journal= {arXiv preprint arXiv:2503.13622},
  year   = {2025}
}
R2 v1 2026-06-28T22:24:17.123Z