Non-degenerate Maps and Sets

Joerg Winkelmann

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arXiv · math/0305170

Non-degenerate Maps and Sets

Joerg Winkelmann

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Abstract

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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Joerg Winkelmann. 2003-05-12. Non-degenerate Maps and Sets. https://arxiv.org/abs/math/0305170

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