Abstract
It is shown that if a bounded quasiregular mapping of the unit ball B n ⊂ R n {B^n} \subset {R^n} , n ⩾ 2 n \geqslant 2 , has a limit at b ∈ ∂ B n b \in \partial {B^n} through a set E ⊂ B n E \subset {B^n} with b ∈ E ¯ b \in \bar E , then it has an angular limit at b b provided that E E is contained in an open cone C ⊂ B n C \subset {B^n} with vertex b b and that E E is thick enough at b b . The thickness condition is expressed in terms of the n n -capacity density.
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