How many miles to beta-X? -- d miles, or just one foot

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dc.creatorKada, Masaru
dc.creatorTomoyasu, Kazuo
dc.creatorYoshinobu, Yasuo
dc.date2004-12-31
dc.date2006-02-25
dc.date.accessioned2026-07-07T06:39:14Z
dc.date.available2026-07-07T06:39:14Z
dc.descriptionIt is known that the Stone-Cech compactification of a metrizable space X is approximated by the collection of Smirnov compactifications of X for all compatible metrics on X. If we confine ourselves to locally compact separable metrizable spaces, the corresponding statement holds for Higson compactifications. We investigate the smallest cardinality of a set D of compatible metrics on X such that the Stone-Cech compactification of X is approximated by Smirnov or Higson compactifications for all metrics in D. We prove that it is either the dominating number or 1 for a locally compact separable metrizable space.
dc.descriptionV2: minor linguistic corrections
dc.identifierhttps://arxiv.org/abs/math/0412547
dc.identifierhttp://arxiv.org/abs/math/0412547
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/101001
dc.subjectGeneral Topology
dc.subject54D35; 03E17
dc.titleHow many miles to beta-X? -- d miles, or just one foot
dc.typetext

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