A characterization of submanifolds by a homogeneity condition

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dc.creatorSkopenkov, A.
dc.date2006-06-19
dc.date2006-09-06
dc.date.accessioned2026-07-07T08:07:56Z
dc.date.available2026-07-07T08:07:56Z
dc.descriptionA very short proof of the following smooth homogeneity theorem of D. Repovs, E. V. Scepin and the author is presented. Let N be a locally compact subset of a smooth manifold M. Assume that for each two points x,y in N there exist their neighborhoods Ux and Uy in M and a diffeomorphism h : Ux \to Uy such that h(x)=y and h (Ux \cap N) = Uy \cap N. Then N is a smooth submanifold of M.
dc.description4 pages, meaning-distorting typos corrected
dc.identifierhttps://arxiv.org/abs/math/0606470
dc.identifierhttp://arxiv.org/abs/math/0606470
dc.identifierTopol. Appl. 154 (2007) 1894-1897
dc.identifierdoi:10.1016/j.topol.2007.03.002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/131098
dc.subjectGeometric Topology
dc.subjectDifferential Geometry
dc.subject57R50; 58A05; 53A04; 54H11
dc.titleA characterization of submanifolds by a homogeneity condition
dc.typetext

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