Category:Definitions/Isolated Singularities
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This category contains definitions related to Isolated Singularities.
Related results can be found in Category:Isolated Singularities.
Complex Function
Let $U \subseteq \C$ be an open set.
Let $f : U \to \C$ be a holomorphic function.
An isolated singularity of $f$ is a point $z_0 \in \C$ for which $U$ is a punctured neighborhood.
Riemann Surface
Let $U$ be an open set of a Riemann surface.
Let $z_0 \in U$.
Let $f: U \setminus \set {z_0} \to \C$ be a holomorphic function.
Then $f$ has an isolated singularity at $z_0$.
Subcategories
This category has the following 4 subcategories, out of 4 total.
Pages in category "Definitions/Isolated Singularities"
The following 8 pages are in this category, out of 8 total.