6533b7cefe1ef96bd125797e

RESEARCH PRODUCT

The branch set of a quasiregular mapping between metric manifolds

Marshall WilliamsChang-yu Guo

subject

Discrete mathematicsConjectureMathematics::Complex VariablesOpen problem010102 general mathematicsMathematical analysisGeneral Medicine01 natural sciences010101 applied mathematicsSet (abstract data type)Metric spaceMetric (mathematics)Mathematics::Metric GeometryCountable set0101 mathematicsMathematics

description

Abstract In this note, we announce some new results on quantitative countable porosity of the branch set of a quasiregular mapping in very general metric spaces. As applications, we solve a recent conjecture of Fassler et al., an open problem of Heinonen–Rickman, and an open question of Heinonen–Semmes.

yearjournalcountryeditionlanguage
2016-02-01Comptes Rendus Mathematique
https://doi.org/10.1016/j.crma.2015.10.022