“…Using the Remmert embedding theorem (see, e.g., [10]) we may assume without loss of generality that M is a closed complex submanifold of some C p . Then according to [14,Lemma 1], there exist a strongly pseudoconvex domain W ⊂ C p with C 2 boundary such that W ∩ M = Ω and a holomorphic map π from a neighbourhood U ofW onto U ∩ M such that π(W ) = Ω and π| U ∩M is the identity map. From here by the covering homotopy theorem, see, e.g., [16], we obtain that for every unbranched covering r : Ω → Ω there exist an unbranched covering q : W → W and holomorphic maps π : W → Ω and i : Ω → W such that π • i = Id and r • π = π • q.…”