Smooth Approximations in PL Geometry
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Publication:5097230
DOI10.1353/ajm.2022.0021OpenAlexW2804439211WikidataQ114056367 ScholiaQ114056367MaRDI QIDQ5097230
José F. Fernando, Riccardo Ghiloni
Publication date: 22 August 2022
Published in: American Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1805.10834
Cites Work
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- Uniform approximation of homeomorphisms by diffeomorphisms
- Approximation of piecewise affine homeomorphisms by diffeomorphisms
- Diffeomorphic approximation of Sobolev homeomorphisms
- Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms
- On manifolds homeomorphic to the 7-sphere
- Quelques propriétés fondamentales des ensembles analytiques-réels
- On combinatorial submanifolds of differentiable manifolds
- Two complexes which are homeomorphic but combinatorially distinct
- Semianalytic and subanalytic sets
- Triangulation of subanalytic sets and proper subanalytic maps
- Canonical desingularization in characteristic zero by blowing up the maximum strata of a local invariant
- Geometry of subanalytic and semialgebraic sets
- On Nash images of Euclidean spaces
- Strict \(C^1\)-triangulations in o-minimal structures
- Global problems on Nash functions
- Algebraic approximations in analytic geometry
- Geometric categories and o-minimal structures
- Approximation on Nash sets with monomial singularities
- Smoothing maps into algebraic sets and spaces of flat connections
- Differentiable approximation of continuous semialgebraic maps
- Obstructions to imposing differentiable structures
- Finiteness problems on Nash manifolds and Nash sets
- On the solutions of analytic equations
- Some theorems on absolute neighborhood retracts
- Approximation of holomorphic maps from Runge domains to affine algebraic varieties
- Variétés analytiques réelles et variétés analytiques complexes
- DIFFEOMORPHIC APPROXIMATION OF CONTINUOUS ALMOST EVERYWHERE INJECTIVE SOBOLEV DEFORMATIONS IN THE PLANE
- Obstruction theories for smoothing manifolds and maps
- Approximation in Compact Nash Manifolds
- On Hilbert's 17th problem and Pfister's multiplicative formulae for the ring of real analytic functions
- On manifolds with corners
- Obstructions to Extending Diffeomorphisms
- C1-triangulations of semialgebraic sets
- A simple triangulation method for smooth manifolds
- Obstructions to the smoothing of piecewise-differentiable homeomorphisms
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