On topological properties of the Hartman--Mycielski functor

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dc.creatorRadul, Taras
dc.creatorRepovs, Dusan
dc.date2005-12-14
dc.date.accessioned2026-07-07T06:55:16Z
dc.date.available2026-07-07T06:55:16Z
dc.descriptionWe investigate some topological properties of a normal functor $H$ introduced earlier by Radul which is some functorial compactification of the Hartman--Mycielski construction HM. We prove that the pair ($HX$, HM$Y$) is homeomorphic to the pair $(Q,σ)$ for each nondegenerated metrizable compactum $X$ and each dense $σ$-compact subset $Y$.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0512322
dc.identifierhttp://arxiv.org/abs/math/0512322
dc.identifierProc. Indian Acad. Sci. (Math. Sci.), Vol. 115, No. 4, November 2005, pp. 477-482
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/106223
dc.subjectGeneral Topology
dc.subjectGeometric Topology
dc.subject54B30; 57N20
dc.titleOn topological properties of the Hartman--Mycielski functor
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