We show that the image of a q-hyperconvex quasi-metric space under a retraction is q-hyperconvex. Furthermore, we establish that quasi-tightness and quasi-essentiality of an extension of a T0-quasi-metric space are equivalent.
@article{bwmeta1.element.doi-10_1515_taa-2017-0002,
author = {Olivier Olela Otafudu and Zechariah Mushaandja},
title = {Versatile asymmetrical tight extensions},
journal = {Topological Algebra and its Applications},
volume = {5},
year = {2017},
pages = {6-12},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_taa-2017-0002}
}
Olivier Olela Otafudu; Zechariah Mushaandja. Versatile asymmetrical tight extensions. Topological Algebra and its Applications, Tome 5 (2017) pp. 6-12. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_taa-2017-0002/