Normal families, multiplicity and the branch set of quasiregular maps.
Martio, O., Srebro, U., Väisälä, J. (1999)
Annales Academiae Scientiarum Fennicae. Mathematica
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Displaying similar documents to “On -homeomorphisms.”
Normal families, multiplicity and the branch set of quasiregular maps.
Theorem on the union of two topologically flat cells of codimension 1 in .
Chernavsky, A.V. (2006)
Abstract and Applied Analysis
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Infinitesimal geometry of quasilinear mappings.
Gutlyanskij, V.Ya., Martio, O., Ryazanov, V.I., Vuorinen, M. (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Generalized mean porosity and dimension.
Nieminen, Tomi (2006)
Annales Academiae Scientiarum Fennicae. Mathematica
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Bi-Lipschitz mappings and quasinearly subharmonic functions.
Dovgoshey, Oleksiy, Riihentaus, Juhani (2010)
International Journal of Mathematics and Mathematical Sciences
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The Apollonian metric: uniformity and quasiconvexity.
Hästö, Peter A. (2003)
Annales Academiae Scientiarum Fennicae. Mathematica
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Pathwise connectivity in uniform domains with small exceptional sets.
Tossavainen, Timo (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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Mappings of finite distortion: Global homeomorphism theorem.
Holopainen, Ilkka, Pankka, Pekka (2004)
Annales Academiae Scientiarum Fennicae. Mathematica
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Linear dilatation and absolute continuity.
Koskela, P., Rogovin, S. (2005)
Annales Academiae Scientiarum Fennicae. Mathematica
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Definitions of quasiregularity.
Cristea, M. (2000)
Annales Academiae Scientiarum Fennicae. Mathematica
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Smooth quasiregular maps with branching in
Robert Kaufman, Jeremy T. Tyson, Jang-Mei Wu (2005)
Publications Mathématiques de l'IHÉS
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According to a theorem of Martio, Rickman and Väisälä, all nonconstant C-smooth quasiregular maps in , ≥3, are local homeomorphisms. Bonk and Heinonen proved that the order of smoothness is sharp in . We prove that the order of smoothness is sharp in . For each ≥5 we construct a C-smooth quasiregular map in with nonempty branch set.
The Apollonian metric: limits of the comparison and bilipschitz properties.
Hästö, Peter A. (2003)
Abstract and Applied Analysis
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