8 citations · 38 across the 33 of their papers we have counts for
10 papers · 1 filter
The Heinonen-Semmes problems after thirty years
Guy C. David, Pekka Pankka, Jeremy T. Tyson
We survey the current status of the questions posed by Juha Heinonen and Stephen Semmes in `Thirty-three yes or no questions about mappings, measures, and metrics' (Conformal Geome…
Vertical quasi-isometries and branched quasisymmetries
Jeff Lindquist, Pekka Pankka
We introduce a class of mappings called vertical quasi-isometries and show that branched quasisymmetries of Guo and Williams between compact, bounded turning metric doubli…
Bing meets Sobolev
Jani Onninen, Pekka Pankka
We show that, for each , there exists a wild involution in the Sobolev class .
Metric currents and polylipschitz forms
Pekka Pankka, Elefterios Soultanis
We construct, for a locally compact metric space , a space of polylipschitz forms , which is a pre-dual for the space of metric currents of Ambr…
Pull-back of metric currents and homological boundedness of BLD-elliptic spaces
Pekka Pankka, Elefterios Soultanis
Using the duality of metric currents and polylipschitz forms, we show that a BLD-mapping between oriented cohomology manifolds and induces a pull-back oper…
Quasiconformal non-parametrizability of almost smooth spheres
Pekka Pankka, Vyron Vellis
We show that, for each , there exists a smooth Riemannian metric on a punctured sphere for which the associated length metric extends to…
Closed BLD-elliptic manifolds have virtually Abelian fundamental groups
Enrico Le Donne, Pekka Pankka
We show that a closed, connected, oriented, Riemannian -manifold, admitting a branched cover of bounded length distortion from , has a virtually Abelian fundamental…
Rigidity of extremal quasiregularly elliptic manifolds
Rami Luisto, Pekka Pankka
We show that for a closed -manifold admitting a quasiregular mapping from the Euclidean -space the following are equivalent: (1) order of growth of is , (2) $…
Distributional limits of Riemannian manifolds and graphs with sublinear genus growth
Hossein Namazi, Pekka Pankka, Juan Souto
Benjamini and Schramm introduced the notion of distributional limit of a sequence of graphs with uniformly bounded valence and studied such limits in the case that the involved gra…
Geometry and quasisymmetric parametrization of Semmes spaces
Pekka Pankka, Jang-Mei Wu
We consider decomposition spaces that are manifold factors and admit defining sequences consisting of cubes-with-handles. Metrics on constructed via modular embed…