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On typical compact submanifolds of the Euclidean space

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Publication:399652
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DOI10.1007/S11253-013-0847-XzbMath1297.57054OpenAlexW2013747007MaRDI QIDQ399652

Reza Mirzaie

Publication date: 20 August 2014

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: http://dspace.nbuv.gov.ua/handle/123456789/165592


zbMATH Keywords

submanifoldsbox dimensioncomeager subsetdifferentiabletypical element


Mathematics Subject Classification ID

Baire category, Baire spaces (54E52) Dimension theory in general topology (54F45) Topological manifolds (57N99) Neighborhoods of submanifolds (57N40)


Related Items (1)

Hausdorff dimension of the nondifferentiability set of a convex function




Cites Work

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  • On images of continuous functions from a compact manifold to Euclidean space
  • Fractal boundaries are not typical
  • The convex hull of a typical compact set
  • Dimension and structure of typical compact sets, continua and curves
  • How Many Sets are Porous?
  • Families of compact sets and their universals
  • Sets of Fractional Dimensions (V): on Dimensional Numbers of Some Continuous Curves




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