Quasiconformal mappings that highly distort dimensions of many parallel lines
classification
🧮 math.MG
keywords
linesparallelquasiconformalamountanswersbaloghcollectionconstruct
read the original abstract
We construct a quasiconformal mapping of $n$-dimensional Euclidean space, $n \geq 2$, that simultaneously distorts the Hausdorff dimension of a nearly maximal collection of parallel lines by a given amount. This answers a question of Balogh, Monti, and Tyson.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.