On semianalytic subsets of rigid analytic varieties |
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Authors: | Roland Huber |
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Institution: | (1) Fachbereich Mathematik, Bergische Universität, Gaußstr. 20, D-42097 Wuppertal, Germany |
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Abstract: | We show some topological properties of semianalytic subsets of rigid analytic varieties: curve selection lemma, the closure
of a semianalytic subsetS is semianalytic,
for every quasi-compact morphismf. As an application we show that a morphismf: X Y of rigid analytic varieties is open at a pointx X if and only if SpecO
X,x SpecO
Y,f(x) is surjective. |
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Keywords: | 32P05 32B20 |
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