Quasiconformal maps between compact polyhedra are quasisymmetric

J. Heinonen, A. Hinkkanen

Research output: Contribution to journalArticlepeer-review


It is proved that quasiconformal homeomorphisms, defined via an infinitesimal pointwise condition, between compact polyhedra are quasisymmetric, that is, they satisfy a global distortion condition, provided the polyhedra in question have no one dimensional parts.

Original languageEnglish (US)
Pages (from-to)997-1018
Number of pages22
JournalIndiana University Mathematics Journal
Issue number4
StatePublished - 1996
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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