Definition:Weakly Locally Connected at Point

Definition
Let $T = \left({S, \tau}\right)$ be a topological space.

Let $x \in S$.

Also known as
If $T$ is weakly locally connected at $x$, it is also said to be connected im kleinen at $x$.

Also see

 * Equivalence of Definitions of Weakly Locally Connected at Point
 * Equivalence of Definitions of Locally Connected Space where it is shown that a space that is weakly locally connected at every point is locally connected.
 * Definition:Locally Connected Space
 * Definition:Locally Path-Connected Space