Extension dimension and quasi-finite CW-complexes

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dc.creatorKarasev, Alex
dc.creatorValov, Vesko
dc.date2004-05-11
dc.date.accessioned2026-07-07T05:08:08Z
dc.date.available2026-07-07T05:08:08Z
dc.descriptionWe extend the definition of quasi-finite complexes by considering not necessarily countable complexes. We provide a characterization of quasi-finite complexes in terms of L-invertible maps and dimensional properties of compactifications. Several results related to the class of quasi-finite complexes are established, such as completion of metrizable spaces, existence of universal spaces and a version of the factorization theorem. Further, we extend the definition of UV(L)-spaces on non-compact case and show that some properties of UV(n)-spaces and UV(n)-maps remain valid, respectively, for UV(L)-spaces and UV(L)-maps.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0405199
dc.identifierhttp://arxiv.org/abs/math/0405199
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71142
dc.subjectGeneral Topology
dc.subject54F45; 55M10
dc.titleExtension dimension and quasi-finite CW-complexes
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