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Smoothing a topological manifold

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Publication:1862067
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DOI10.1016/S0166-8641(01)00255-3zbMath1026.57019OpenAlexW1984609693MaRDI QIDQ1862067

Charles C. Pugh

Publication date: 10 March 2003

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0166-8641(01)00255-3


zbMATH Keywords

graph transformslopesmoothabilitylipeomorphismCairns-Whitehead theorem


Mathematics Subject Classification ID

Smoothing in differential topology (57R10) Neighborhoods of submanifolds (57N40)


Related Items

Smoothing closed gridded surfaces embedded in ℝ4 ⋮ Combinatorial description around any vertex of a cubical n-manifold ⋮ The minimal number of critical points of a smooth function on a closed manifold and the ball category ⋮ Flat forms, bi-Lipschitz parametrizations, and smoothability of manifolds ⋮ Cubulated moves for 2-knots ⋮ Partial regularity and smooth topology-preserving approximations of rough domains ⋮ An index theorem for Wiener-Hopf operators



Cites Work

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  • Manifolds with transverse fields in euclidean space
  • A manifold which does not admit any differentiable structure
  • Homeomorphisms between topological manifolds and analytic manifolds
  • Finiteness Theorems for Riemannian Manifolds
  • Invariant manifolds
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