Topological semigroups and universal spaces related to extension dimension

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dc.creatorChigogidze, A.
dc.creatorKarasev, A.
dc.creatorZarichnyi, M.
dc.date2001-09-17
dc.date.accessioned2026-07-07T04:43:24Z
dc.date.available2026-07-07T04:43:24Z
dc.descriptionIt is proved that there is no structure of left (right) cancelative semigroup on $[L]$-dimensional universal space for the class of separable compact spaces of extensional dimension $\le [L]$. Besides, we note that the homeomorphism group of $[L]$-dimensional space whose nonempty open sets are universal for the class of separable compact spaces of extensional dimension $\le [L]$ is totally disconnected.
dc.identifierhttps://arxiv.org/abs/math/0109106
dc.identifierhttp://arxiv.org/abs/math/0109106
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/62205
dc.subjectGeneral Topology
dc.subject54H15
dc.titleTopological semigroups and universal spaces related to extension dimension
dc.typetext

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