Obstruction theories for smoothing manifolds and maps

DOI10.1090/S0002-9904-1963-10917-9zbMath0112.14602OpenAlexW2010908567MaRDI QIDQ3850549

Morris W. Hirsch

Publication date: 1963

Published in: Bulletin of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9904-1963-10917-9

zbMATH Keywords

topology

Related Items (19)

Piecewise linear normal micro-bundles ⋮ Smooth structures on a fake real projective space ⋮ Some curious involutions of spheres ⋮ Smooth and piecewise linear surgery ⋮ Some results on topological neighbourhoods ⋮ Smooth Approximations in PL Geometry ⋮ Intersection forms of spin 4-manifolds and the pin(2)-equivariant Mahowald invariant ⋮ Smooth Homology Spheres and their Fundamental Groups ⋮ Regular Neighbourhoods and the Stable Range ⋮ On Detecting Open Collars ⋮ Uniform approximation of homeomorphisms by diffeomorphisms ⋮ On Manifolds with the Homotopy Type of Complex Projective Space ⋮ Block bundles ⋮ On groups of linear, smooth, and topological equivariant automorphisms ⋮ Algebraic equations for nonsmoothable 8-manifolds ⋮ Differentiable approximation of continuous semialgebraic maps ⋮ Four-dimensional topology: an introduction ⋮ Surgery on piecewise linear manifolds and applications ⋮ Helicity of vector fields preserving a regular contact form and topologically conjugate smooth dynamical systems

Cites Work

• On combinatorial submanifolds of differentiable manifolds
• Two complexes which are homeomorphic but combinatorially distinct
• Differentiable isotopies on the 2-sphere
• Microbundles
• Obstructions to Extending Diffeomorphisms
• Obstructions to the smoothing of piecewise-differentiable homeomorphisms
• Vector fields on spheres

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