# Category:Singular Points

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This category contains results about **Singular Points**.

Definitions specific to this category can be found in Definitions/Singular Points.

### Real Analysis

Let $C$ be a locus.

A point $P \in C$ is called a **singular point** if and only if $P$ does not have a unique tangent to $C$ which is itself differentiable.

### Complex Analysis

Let $U \subseteq \C$ be an open set.

Let $f : U \to \C$ be a complex function.

A **singular point** of $f$ is a point at which $f$ is not analytic.

## Subcategories

This category has the following 3 subcategories, out of 3 total.