Extraordinary dimension theories generated by complexes

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dc.creatorChigogidze, A.
dc.date2003-01-01
dc.date.accessioned2026-07-07T04:54:13Z
dc.date.available2026-07-07T04:54:13Z
dc.descriptionWe study the extraordinary dimension function dim_{L} introduced by Ščepin. An axiomatic characterization of this dimension function is obtained. We also introduce inductive dimensions ind_{L} and Ind_{L} and prove that for separable metrizable spaces all three coincide. Several results such as characterization of dim_{L} in terms of partitions and in terms of mappings into $n$-dimensional cubes are presented. We also prove the converse of the Dranishnikov-Uspenskij theorem on dimension-raising maps.
dc.identifierhttps://arxiv.org/abs/math/0301004
dc.identifierhttp://arxiv.org/abs/math/0301004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/66159
dc.subjectGeneral Topology
dc.subject54F45, 55M10
dc.titleExtraordinary dimension theories generated by complexes
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