Snowballs are Quasiballs

Meyer, Daniel (2008) Snowballs are Quasiballs. no., 3 (3). 1247-.

Text
0810.2711v2.pdf - Author Accepted Manuscript
Download (769kB)

Official URL: http://dx.doi.org/10.1090/s0002-9947-09-04635-2

Abstract

We introduce snowballs, which are compact sets in $\R^3$ homeomorphic to the unit ball. They are 3-dimensional analogs of domains in the plane bounded by snowflake curves. For each snowball $B$ a quasiconformal map $f\colon \R^3\to \R^3$ is constructed that maps $B$ to the unit ball.

Item Type:	Article
Additional Information:	54 pages, 16 Figures
Uncontrolled Keywords:	math.CV, math.CV, math.MG, 30C65
Depositing User:	Symplectic Admin
Date Deposited:	18 Dec 2017 09:26
Last Modified:	19 Jan 2023 06:48
DOI:	10.1090/s0002-9947-09-04635-2
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3014262