Geometry and Dress Groups with Non-symmetric Cost Functions

Vietnam Journal of Mathematics 2026 Open access

Read full text
Authors: Lukas Silvester Barth, Parvaneh Joharinad, Jürgen Jost, Walter Wenzel
DOI: 10.1007/s10013-026-00815-9
Cited by: 0

Abstract

Abstract A metric relation by definition is symmetric. Since many data sets are non-symmetric, in this paper we develop a systematic theory of non-symmetric cost functions. Betweenness relations play an important role. We also introduce the notion of a Dress group in the non-symmetric setting and indicate a notion of curvature.

Fields of Study & Subjects

Mathematics and Applications Geometric and Algebraic Topology Advanced Topology and Set Theory

Publication details

Journal / source
Vietnam Journal of Mathematics
Publication date
5 May 2026
Language
EN