Versatile asymmetrical tight extensions
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.
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| Format: | Article |
| Language: | English |
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De Gruyter
2017-04-01
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| Series: | Topological Algebra and its Applications |
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| Online Access: | https://doi.org/10.1515/taa-2017-0002 |
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doaj-b2cdb3950ead4a989fbe371637326e9e2021-10-02T19:16:06ZengDe GruyterTopological Algebra and its Applications2299-32312017-04-015161210.1515/taa-2017-0002taa-2017-0002Versatile asymmetrical tight extensionsOtafudu Olivier Olela0Mushaandja Zechariah1North-West University (Mafikeng Campus), Department of Mathematical Sciences, Private Bag X2046, Mmabatho, South AfricaBotswana International University of Science and Technology (BIUST), Department of Mathematics and Statistical Sciences, Private Bag 16, Palapye, BotswanaWe 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.https://doi.org/10.1515/taa-2017-0002q-hyperconvexityquasi-tightnessquasi-essentialextension54e4054b30 |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Otafudu Olivier Olela Mushaandja Zechariah |
| spellingShingle |
Otafudu Olivier Olela Mushaandja Zechariah Versatile asymmetrical tight extensions Topological Algebra and its Applications q-hyperconvexity quasi-tightness quasi-essential extension 54e40 54b30 |
| author_facet |
Otafudu Olivier Olela Mushaandja Zechariah |
| author_sort |
Otafudu Olivier Olela |
| title |
Versatile asymmetrical tight extensions |
| title_short |
Versatile asymmetrical tight extensions |
| title_full |
Versatile asymmetrical tight extensions |
| title_fullStr |
Versatile asymmetrical tight extensions |
| title_full_unstemmed |
Versatile asymmetrical tight extensions |
| title_sort |
versatile asymmetrical tight extensions |
| publisher |
De Gruyter |
| series |
Topological Algebra and its Applications |
| issn |
2299-3231 |
| publishDate |
2017-04-01 |
| description |
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. |
| topic |
q-hyperconvexity quasi-tightness quasi-essential extension 54e40 54b30 |
| url |
https://doi.org/10.1515/taa-2017-0002 |
| work_keys_str_mv |
AT otafuduolivierolela versatileasymmetricaltightextensions AT mushaandjazechariah versatileasymmetricaltightextensions |
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1716847534851227648 |