Versatile asymmetrical tight extensions

Olivier Olela Otafudu; Zechariah Mushaandja

Topological Algebra and its Applications (2017)

  • Volume: 5, Issue: 1, page 6-12
  • ISSN: 2299-3231

Abstract

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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.

How to cite

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Olivier Olela Otafudu, and Zechariah Mushaandja. "Versatile asymmetrical tight extensions." Topological Algebra and its Applications 5.1 (2017): 6-12. <http://eudml.org/doc/288145>.

@article{OlivierOlelaOtafudu2017,
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.},
author = {Olivier Olela Otafudu, Zechariah Mushaandja},
journal = {Topological Algebra and its Applications},
keywords = {q-hyperconvexity; quasi-tightness; quasi-essential; extension},
language = {eng},
number = {1},
pages = {6-12},
title = {Versatile asymmetrical tight extensions},
url = {http://eudml.org/doc/288145},
volume = {5},
year = {2017},
}

TY - JOUR
AU - Olivier Olela Otafudu
AU - Zechariah Mushaandja
TI - Versatile asymmetrical tight extensions
JO - Topological Algebra and its Applications
PY - 2017
VL - 5
IS - 1
SP - 6
EP - 12
AB - 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.
LA - eng
KW - q-hyperconvexity; quasi-tightness; quasi-essential; extension
UR - http://eudml.org/doc/288145
ER -

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