Constructibility of the set of points where a complex analytic morphism is open

Parusiński, Adam

doi:10.1090/S0002-9939-1993-1139472-2

Constructibility of the set of points where a complex analytic morphism is open
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by Adam Parusiński

Proc. Amer. Math. Soc. 117 (1993), 205-211

DOI: https://doi.org/10.1090/S0002-9939-1993-1139472-2

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Abstract:

Using the local flattening theorem we prove that the set of points where a complex analytic morphism is open (or universally open) is constructible. A similar result is obtained for a morphism of complex algebraic varieties.

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