R. Luisto

collaborators

3 papers

math.MG2019

On BLD-mappings with small distortion

Aapo Kauranen, Rami Luisto, Ville Tengvall

We show that every $L$ -BLD-mapping in a domain of $R^{n}$ is a local homeomorphism if $L < 2$ or $K_{I} (f) < 2$ . These bounds are sharp as shown by a winding map.

math.CV2018

Open and Discrete Maps with Piecewise Linear Branch Set Images are Piecewise Linear Maps

Rami Luisto, Eden Prywes

The image of the branch set of a PL branched cover between PL $n$ -manifolds is a simplicial $(n - 2)$ -complex. We demonstrate that the reverse implication also holds: an open and dis…

math.CA2018

Weak regularity of the inverse under minimal assumptions

Stanislav Hencl, Aapo Kauranen, Rami Luisto

Let $Ω \subset R^{3}$ be a domain and let $f \in B V_{loc} (Ω, R^{3})$ be a homeomorphism such that its distributional adjugate is a finite Radon measure. We…