Topology + Asymmetric Structures
32nd Summer Conference on Topology and Its Applications
We prove that every q-hyperconvex T0-quasi-metric space (X, d) is di-injective without appealing to Zorn’s lemma. We also demonstrate that QX as constructed by Kemajou et al. and Q(X) (the space of all Katˇetov function pairs on X) are di-injective. Moreover we prove that di-injective T0-quasi-metric spaces do not contain proper essential extensions. Among other results, we state a number of ways in which the the di-injective envelope of a T0-quasi-metric space can be characterized.
Copyright © 2017, the Author
Agyingi, Collins Amburo, "On Di-injective T0-Quasi-metric Spaces" (2017). Summer Conference on Topology and Its Applications. 11.