Versatile asymmetrical tight extensions

Abstract

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.

Keywords

• q-hyperconvexity
• quasi-tightness
• quasi-essential
• extension
• 54e40
• 54b30