The bicompletion of the Hausdorff quasi-uniformity

Simple item page
dc.creatorKunzi, Hans-Peter A.
dc.creatorRomaguera, S.
dc.creatorGranero, M. A. Sanchez
dc.date2008-09-29
dc.date.accessioned2026-07-07T10:06:10Z
dc.date.available2026-07-07T10:06:10Z
dc.descriptionWe study conditions under which the Hausdorff quasi-uniformity ${\mathcal U}_H$ of a quasi-uniform space $(X,{\mathcal U})$ on the set ${\mathcal P}_0(X)$ of the nonempty subsets of $X$ is bicomplete. Indeed we present an explicit method to construct the bicompletion of the $T_0$-quotient of the Hausdorff quasi-uniformity of a quasi-uniform space. It is used to find a characterization of those quasi-uniform $T_0$-spaces $(X,{\mathcal U})$ for which the Hausdorff quasi-uniformity $\widetilde{\mathcal U}_H$ of their bicompletion $(\widetilde{X},{\widetilde{\mathcal U}})$ on ${\mathcal P}_0(\widetilde{X})$ is bicomplete.
dc.identifierhttps://arxiv.org/abs/0809.4964
dc.identifierhttp://arxiv.org/abs/0809.4964
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170234
dc.subjectGeneral Topology
dc.subject54E15
dc.titleThe bicompletion of the Hausdorff quasi-uniformity
dc.typetext

Files

Collections

arXiv