Complex Analysis/null-homologous

Definition Let $G\subseteq ℂ$ be a domain, and let $\mathrm{\Gamma }$ be a Chain in $G$. The cycle $\mathrm{\Gamma }$ is called null-homologous in $G$ if, for every $z\in ℂ\setminus G$, the Winding number vanishes. In other words, this means that $ℂ\setminus G\subseteq A_{\mathrm{\Gamma }}=z\in ℂ:n(\mathrm{\Gamma },z)=0$.

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• Source: Kurs:Funktionentheorie/nullhomolog - URL:

https://de.wikiversity.org/wiki/Kurs:Funktionentheorie/nullhomolog

• Date: 01/05/2024

de:Kurs:Funktionentheorie/nullhomolog