  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.
