Some aspects of Isbell-convex quasi-metric spaces

Olivier Olela Otafudu

Ayuda

Some aspects of Isbell-convex quasi-metric spaces

Autores: Olivier Olela Otafudu
Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 19, Nº. 1, 2018, págs. 173-187
Idioma: inglés
DOI: 10.4995/agt.2018.7997
Enlaces
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Resumen
- 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.
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