Dense families of selections and finite-dimensional spaces

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dc.creatorGutev, V.
dc.creatorValov, V.
dc.date2001-11-26
dc.date.accessioned2026-07-07T04:44:45Z
dc.date.available2026-07-07T04:44:45Z
dc.descriptionA characterization of $n$-dimensional spaces via continuous selections avoiding $Z_n$-sets is given, and a selection theorem for strongly countable-dimensional spaces is established. We apply these results to prove a generalized Ostrand's theorem and to obtain a new alternative proof of the Hurewicz formula.
dc.description22 pages
dc.identifierhttps://arxiv.org/abs/math/0111254
dc.identifierhttp://arxiv.org/abs/math/0111254
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62718
dc.subjectGeneral Topology
dc.subject54C60; 54C65
dc.titleDense families of selections and finite-dimensional spaces
dc.typetext

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