Kernels, Distances, and Bridges

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.

Publication Details

Journal
ArXiv.org
Published
2025-03-17
Primary Topic
Advanced Topology and Set Theory
Type
article
Field-Weighted Citation Impact
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article

Kernels, Distances, and Bridges

ArXiv.org
Advanced Topology and Set Theory
article

Kernels, Distances, and Bridges

article en

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.

ArXiv.org
Reduced inequalities
Openalex Percentile: Top 44%
Advanced Topology and Set Theory
Open Access PDFOpenAlex
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Kernels, Distances, and Bridges · ArXiv.org (2025) | TGRS Research Map | TGRS