Title

On Di-injective T0-Quasi-metric Spaces

Author(s)

Collins Amburo Agyingi, North-West University (South Africa)Follow

Document Type

Topology + Asymmetric Structures

Publication Date

6-2017

Publication Source

32nd Summer Conference on Topology and Its Applications

Abstract

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.

Comments

This document is available for download with the permission of the presenting author and the organizers of the conference. Permission documentation is on file.

Technological limitations may prevent some mathematical symbols and functions from displaying correctly in this record’s metadata fields. Please refer to the attached PDF for the correct display.

Copyright

Copyright © 2017, the Author

eCommons Citation

Agyingi, Collins Amburo, "On Di-injective T0-Quasi-metric Spaces" (2017). Summer Conference on Topology and Its Applications. 11.
https://ecommons.udayton.edu/topology_conf/11