Behnke-Stein theorem for analytic spaces

Silva, Alessandro

doi:10.1090/S0002-9947-1974-0367286-2

Behnke-Stein theorem for analytic spaces
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by Alessandro Silva

Trans. Amer. Math. Soc. 199 (1974), 317-326

DOI: https://doi.org/10.1090/S0002-9947-1974-0367286-2

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Addendum: Trans. Amer. Math. Soc. 212 (1975), 417-418.

Abstract:

The notion of $q$-Runge pair is extended to reduced complex analytic spaces. A necessary and sufficient condition for a pair of $n$-dimensional analytic spaces to be an $n$-Runge pair is proved and it is shown that this result extends a Behnke-Stein theorem when $n = 1$. A topological property of $q$-Runge pairs of spaces is also proved.

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