On local injectivity and asymptotic linearity of quasiregular mappings
V. Gutlyanskiĭ, O. Martio, V. Ryazanov, M. Vuorinen (1998)
Studia Mathematica
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It is shown that the approximate continuity of the dilatation matrix of a quasiregular mapping f at implies the local injectivity and the asymptotic linearity of f at . Sufficient conditions for to behave asymptotically as are given. Some global injectivity results are derived.