Displaying similar documents to “Pathwise connectivity in uniform domains with small exceptional sets.”

On Q -homeomorphisms.

Martio, O., Ryazanov, V., Srebo, U., Yakubov, E. (2005)

Annales Academiae Scientiarum Fennicae. Mathematica

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Euclidean quasiconvexity.

Hakobyan, Hrant, Herron, David A. (2008)

Annales Academiae Scientiarum Fennicae. Mathematica

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Smooth quasiregular maps with branching in 𝐑 n

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.

Weak slice conditions, product domains, and quasiconformal mappings.

Stephen M. Buckley, Alexander Stanoyevitch (2001)

Revista Matemática Iberoamericana

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We investigate geometric conditions related to Hölder imbeddings, and show, among other things, that the only bounded Euclidean domains of the form U x V that are quasiconformally equivalent to inner uniform domains are inner uniform domains.