We establish the basic analytic and geometric properties of quasiregular maps f: Ω → X, where Ω ⊂ ℝn is a domain and X is a generalized n-manifold with a suitably controlled geometry. Generalizing the classical Väisälä and Poletsky inequalities, our main theorem shows that the path family method applies to these maps.
|Original language||English (US)|
|Number of pages||47|
|Journal||Journal d'Analyse Mathematique|
|State||Published - Oct 2009|
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