- Research Article
- 10.1007/s10013-026-00815-9
Geometry and Dress Groups with Non-symmetric Cost Functions
- May 05, 2026
- Vietnam Journal of Mathematics
- Lukas Silvester Barth + 3 more +3
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.
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