Pathwise connectivity in uniform domains with small exceptional sets.

Tossavainen, Timo

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

Normal families, multiplicity and the branch set of quasiregular maps.

Martio, O., Srebro, U., Väisälä, J. (1999)

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Quasiconformal images of Hölder domains.

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Linear dilatation and absolute continuity.

Koskela, P., Rogovin, S. (2005)

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Euclidean quasiconvexity.

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Shanmugalingam, Nageswari (2004)

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Definitions of quasiregularity.

Cristea, M. (2000)

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Smooth quasiregular maps with branching in $𝐑^{n}$

Robert Kaufman, Jeremy T. Tyson, Jang-Mei Wu (2005)

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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.