We prove a couple of results on local continuous extension of proper holomorphic maps F : D → Ω, D, Ω C n , making local assumptions on ∂D and ∂Ω. The first result allows us to have much lower regularity, for the patches of ∂D, ∂Ω that are relevant, than in earlier results. The second result (and a result closely related to it) is in the spirit of a result by Forstnerič-Rosay. However, our assumptions allow ∂Ω to contain boundary points of infinite type.
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