Equivalent metrics and compactifications

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dc.creatorKim, Young Deuk
dc.date2007-09-29
dc.date.accessioned2026-07-07T08:33:08Z
dc.date.available2026-07-07T08:33:08Z
dc.descriptionLet (X,d) be a metric space and m\in X. Suppose that ϕ:X\times X\to\mathbold{R} is a nonnegative symmetric function. We define a metric d^{ϕ,m} on X which is equivalent to d. If d^{ϕ,m} is totally bounded, its completion is a compactification of (X,d). As examples, we construct two compactifications of (\mathhbold{R}^s,d_E), where d_E is the Euclidean metric and s\geq 2.
dc.description19 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0710.0080
dc.identifierhttp://arxiv.org/abs/0710.0080
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139021
dc.subjectGeometric Topology
dc.subjectGeneral Topology
dc.subject54E35; 54D35
dc.titleEquivalent metrics and compactifications
dc.typetext

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