On the ultra-quasi-tight extensions
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Date
2023
Authors
Mukongo, Demco Kalusokoma
Otafudu, Olivier Olela
Toko, Wilson Bombe
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Mark
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Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky
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Abstract
In their previous paper [4], Künzi and Olela Otafudu constructed the ultra-quasi-metric hull of a T0-ultra-quasi-metric space. In this article, we continue these studies by investigating the tightness and essentiality of extension maps in the category of ultra-quasi-metric spaces and nonexpansive maps. We show, for instance, that q-spherical completeness is preserved by a retraction map. Furthermore, we point out some categorical aspects of ultra-quasi-metrically injective hulls.
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Mathematics for Applications. 2023 vol. 12, č. 1, s. 101-114. ISSN 1805-3629
http://ma.fme.vutbr.cz/archiv/12_1/ma_12_1_otafudu_et_al_final.pdf
http://ma.fme.vutbr.cz/archiv/12_1/ma_12_1_otafudu_et_al_final.pdf
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en
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© Vysoké učení technické v Brně, Fakulta strojního inženýrství, Ústav matematiky