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Published online by Cambridge University Press: 20 November 2018
We prove a big Picard type extension theoremfor holomorphic maps $f\,:\,X\,-\,A\,\to \,M$ , where
$X$ is a complex manifold,
$A$ is an analytic subvariety of
$X$ , and
$M$ is the complement of the union of a set of hyperplanes in
${{\mathbb{P}}^{n}}$ but is not necessarily hyperbolically imbedded in
${{\mathbb{P}}^{n}}$ .