Non-degenerate Maps and Sets

Mathematics – Complex Variables

Scientific paper

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14 pages. LaTeX

Scientific paper

We construct certain non-degenerate maps and sets, mainly in the complex-analytic category. For example, we show that for every countable subset S in an irreducible complex space X there exists a holomorphic map from the unit disk to X such that S is contained in the image. Furthermore, given an irreducible complex space X, there is always an infinite subset S such that for every proper analytic subspace Z of X the intersection of S with Z is finite.

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