The injective hull of ultra-quasi-metric versus q-hyperconvex hull of quasi-metric space

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• 作者：Olivier Olela Otafudu¹ ; ^{olivier.olelaotafudu@nwu.ac.za" class="auth_mail" title="E-mail the corresponding author}
• 关键词：54E15 ; 54E35 ; 54E55 ; 06A06 ; 06B23
• 刊名：Topology and its Applications
• 出版年：2016
• 出版时间：15 April 2016
• 年：2016
• 卷：203
• 期：Complete
• 页码：170-176
• 全文大小：283 K

文摘

For any partially ordered set equipped with its natural T₀$T_0$-quasi-metric (T₀$T_0$-ultra-quasi-metric), we study the connection between the ultra-quasi-metrically injective hull and the q  -hyperconvex hull. We also observe that for a partially ordered set, its Dedekind–MacNeille completion coincides exactly with the ultra-quasi-metric injective hull of its natural T₀$T_0$-ultra-quasi metric.