Densities non-realizable as the Jacobian of a 2-dimensional bi-Lipschitz map are generic
نویسندگان
چکیده
منابع مشابه
Density not realizable as the Jacobian determinant of a bilipschitz map
Are every two separated nets in the plane bilipschitz equivalent? In the late 1990s, Burago and Kleiner and, independently, McMullen resolved this beautiful question negatively. Both solutions are based on a construction of a density function that is not realizable as the Jacobian determinant of a bilipschitz map. McMullen’s construction is simpler than the Burago–Kleiner one, and we provide a ...
متن کاملDensity not realizable as the Jacobian determinant of a bilipschitz map
Are every two separated nets in the plane bilipschitz equivalent? In the late 1990s, Burago and Kleiner and, independently, McMullen resolved this beautiful question negatively. Both solutions are based on a construction of a density function that is not realizable as the Jacobian determinant of a bilipschitz map. McMullen’s construction is simpler than the Burago–Kleiner one, and we provide a ...
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We study the multiplicity mod 2 of real algebraic hypersurfaces. We prove that under some assumptions on the singularity it is preserved through a semi-algebraic bi-Lipschitz homeomorphism of R. In a first part we find a part of the tangent cone enclosing the multiplicity mod 2 and prove that it is an equivariant subset of S. Studying equivariant submanifolds of S we are able to conclude about ...
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ژورنال
عنوان ژورنال: Journal of Topology and Analysis
سال: 2018
ISSN: 1793-5253,1793-7167
DOI: 10.1142/s1793525318500322