Abstract
The decomposition space associated with the Whitehead continuum is not a manifold, but the product is homeomorphic to for any (known since the 1960’s). We study the quasisymmetric structure on and show that the space may be equipped with a metric resembling geometrically and measure theoretically—it is linearly locally contractible and Ahlfors –regular—nevertheless the resulting space does not admit a quasisymmetric parametrization by .
Citation
Juha Heinonen. Jang-Mei Wu. "Quasisymmetric nonparametrization and spaces associated with the Whitehead continuum." Geom. Topol. 14 (2) 773 - 798, 2010. https://doi.org/10.2140/gt.2010.14.773
Information