Lindelöf-type theorems for quasiconformal and quasiregular mappings
Matti Vuorinen (1983)
Banach Center Publications
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Matti Vuorinen (1983)
Banach Center Publications
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We give an example of a -smooth quasiregular mapping in 3-space with nonempty branch set. Moreover, we show that the branch set of an arbitrary quasiregular mapping in-space has Hausdorff dimension quantitatively bounded away from . By using the second result, we establish a new, qualitatively sharp relation between smoothness and branching.