Some aspects of Isbell-convex quasi-metric spaces

Olivier Olela Otafudu


We introduce and investigate the concept of geodesic bicombing in T0-quasi-metric spaces. We prove that any Isbell-convex T0-quasi-metric space admits a geodesic bicombing which satisfies the equivariance property.  Additionally, we show that many results on geodesic bicombing hold in quasi-metric settings, provided that non symmetry in quasi-metric spaces holds.


Isbell-convexity; geodesic bicombing; injectivity

Subject classification

54E50; 30L05.

Full Text:



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