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On smoothness of compacta

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Publication:1585391
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DOI10.1007/BF02672712zbMath0977.53003OpenAlexW2076623273MaRDI QIDQ1585391

Dušan D. Repovš, Evgeny V. Shchepin

Publication date: 7 November 2000

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02672712


zbMATH Keywords

contactjetRademacher theoremorder of differentiabilityhomogeneity theoremambiently smoothly homogeneous


Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Jets in global analysis (58A20) Differentiable manifolds, foundations (58A05)


Related Items (4)

On a theorem of Shchepin and Repovš concerning the smoothness of compacta ⋮ A characterization of submanifolds by a homogeneity condition ⋮ Enveloping manifolds ⋮ Prevalence



Cites Work

  • Unnamed Item
  • A proof of the Hilbert-Smith conjecture for actions by Lipschitz maps
  • Group actions on manifolds and smooth ambient homogeneity
  • Hausdorff dimension and the dynamics of diffeomorphisms
  • $C^1$-homogeneous compacta in $\mathbb {R}^n$ are $C^1$-submanifolds of $\mathbb {R}^n$


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