On convex bodies of constant width

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dc.creatorBazylevych, L. E.
dc.creatorZarichnyi, M. M.
dc.date2004-01-07
dc.date.accessioned2026-07-07T05:04:24Z
dc.date.available2026-07-07T05:04:24Z
dc.descriptionWe present an alternative proof of the following fact: the hyperspace of compact closed subsets of constant width in $\mathbb R^n$ is a contractible Hilbert cube manifold. The proof also works for certain subspaces of compact convex sets of constant width as well as for the pairs of compact convex sets of constant relative width. Besides, it is proved that the projection map of compact closed subsets of constant width is not 0-soft in the sense of Shchepin, in particular, is not open.
dc.description6 pages
dc.identifierhttps://arxiv.org/abs/math/0401060
dc.identifierhttp://arxiv.org/abs/math/0401060
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69792
dc.subjectMetric Geometry
dc.subjectGeometric Topology
dc.subject54B20, 52A20, 46A55
dc.titleOn convex bodies of constant width
dc.typetext

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