Given any a locally finitely piecewise affine homeomorphism of onto in and any we construct a smooth injective map such that .
Cite this article
Daniel Campbell, Filip Soudský, Smooth homeomorphic approximation of piecewise affine homeomorphisms. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 32 (2021), no. 3, pp. 511–534DOI 10.4171/RLM/946