Connected, not separably connected complete metric spaces

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dc.creatorBanakh, T.
dc.creatorVovk, M.
dc.creatorWójcik, M. R.
dc.date2009-03-27
dc.date.accessioned2026-07-07T12:57:30Z
dc.date.available2026-07-07T12:57:30Z
dc.descriptionIn a separably connected space any two points are contained in a separable connected subset. We show a mechanism that takes a connected bounded metric space and produces a complete connected metric space whose separablewise components form a quotient space isometric to the original space. We repeatedly apply this mechanism to construct, as an inverse limit, a complete connected metric space whose each separable subset is zero-dimensional.
dc.description10 pages
dc.identifierhttps://arxiv.org/abs/0903.4768
dc.identifierhttp://arxiv.org/abs/0903.4768
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224950
dc.subjectGeneral Topology
dc.subjectMetric Geometry
dc.subject54D05; 54C30
dc.titleConnected, not separably connected complete metric spaces
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