A note on asymptotic values of quasiregular maps

A note on asymptotic values of quasiregular maps

In this note we give an example of a quasiregular map in ℝ n ( n ≥ 3) of order of growth n − 1 and whose set of asymptotic values is A ∪ {∞} for a given Suslin analytic set A ⊂ ℝ n . Our example is a modification of Drasin’s construction in [4] of a quasiregular map with order of growth n − 1 and se...

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Veröffentlicht in:Israel journal of mathematics 2014-06, Vol.200 (1), p.343-360
Hauptverfasser: Cantón, A., Qu, J.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Analysis
Applications of Mathematics
Group Theory and Generalizations
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
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Zusammenfassung:In this note we give an example of a quasiregular map in ℝ n ( n ≥ 3) of order of growth n − 1 and whose set of asymptotic values is A ∪ {∞} for a given Suslin analytic set A ⊂ ℝ n . Our example is a modification of Drasin’s construction in [4] of a quasiregular map with order of growth n − 1 and set of asymptotic values ℝ n ∪ {∞}.
ISSN:0021-2172
1565-8511
DOI:10.1007/s11856-014-1043-x