Nonexistence of linear operators extending Lipschitz (pseudo)metrics

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dc.creatorZarichnyi, Michael
dc.date2004-08-15
dc.date.accessioned2026-07-07T05:11:17Z
dc.date.available2026-07-07T05:11:17Z
dc.descriptionWe provide an example of a zero-dimensional compact metric space $X$ and its closed subspace $A$ such that there is no continuous linear extension operator for the Lipschitz pseudometrics on $A$ to the Lipschitz pseudometrics on $X$. The construction is based on results of A. Brudnyi and Yu. Brudnyi concerning linear extension operators for Lipschitz functions.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/math/0408200
dc.identifierhttp://arxiv.org/abs/math/0408200
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/72190
dc.subjectGeneral Topology
dc.subjectGeometric Topology
dc.subject26A16; 54C20; 54E35; 54E40
dc.titleNonexistence of linear operators extending Lipschitz (pseudo)metrics
dc.typetext

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