Polynom/Nullstellengebilde/Maß 0/Aufgabe

Es sei ${}F\neq 0$ ein Polynom in ${}n$ Variablen über ${}\mathbb {R}$ und es sei

{}T={\left\{x\in \mathbb {R} ^{n}\mid F(x)=0\right\}}\,

die Nullstellenmenge des Polynoms. Zeige

{}\lambda ^{n}(T)=0\,.

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