6533b854fe1ef96bd12af5d7

RESEARCH PRODUCT

Surface families and boundary behavior of quasiregular mappings

Kai Rajala

subject

Pure mathematicsGeneral MathematicsBounded functionMathematical analysisBoundary (topology)quasiregular mappingsSurface (topology)Mathematics30C65

description

We study the boundary behavior of bounded quasiregular mappings f : Bn(0, 1) → Rn, n ≥ 3. We show that there exists a large family of cusps, with vertices on the boundary sphere S n−1 (0, 1), so that the images of these cusps under f have finite (n − 1)-measure. peerReviewed

http://urn.fi/URN:NBN:fi:jyu-201903071768