Characterization of quantale-valued metric spaces and quantale-valued partial metric spaces by convergence

Journal Article

Ahsanullah, Gunther Jaeger and T M G . 2018

• Publication Work Type: Original Research
• Magazine \ Newspaper: Applied General Topology
• Volume Number: Accepted, to appear in 2018

Publication Abstract

We identify two categories of quantale-valued convergence tower
spaces that are isomorphic to the categories of quantale-valued metric spaces
and quantale-valued partial metric spaces, respectively. As an application we
state a quantale-valued metrization theorem for quantale-valued convergence
tower groups