Versatile asymmetrical tight extensions

Topological Algebra and its Applications

Mushaandja Zechariah¹  Otafudu Olivier Olela² 

[1] Botswana International University of Science and Technology (BIUST), Department of Mathematics and Statistical Sciences, Private Bag 16, Palapye, Botswana;North-West University (Mafikeng Campus), Department of Mathematical Sciences, Private Bag X2046, Mmabatho, South Africa;

关键词: q-hyperconvexity;    quasi-tightness;    quasi-essential;    extension;    54e40;    54b30;   

DOI  :  10.1515/taa-2017-0002

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown