Affin-algebraische Menge/Komplement/C/Zusammenhängend/Aufgabe

Es sei ${}V\subset {{\mathbb {A} }_{\mathbb {C} }^{n}}$ eine affin-algebraische Menge und

{}U:={{\mathbb {A} }_{\mathbb {C} }^{n}}\setminus V\,

das offene Komplement. Zeige, dass ${}U$ in der metrischen Topologie wegzusammenhängend

ist.

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