Limit Point

Relevant Classes: Math 297

Summary

Suppose $V,⟨,⟩)$ is a finite dimensional inner product space and $A\subseteq V$. A point $\vec{v}\in V$ is called a limit point of $A$ provided that for all $\delta >0$ we have that $B_{\delta }(\vec{v})$ contains an element of $A$ other than $\vec{v}$, that is $A\cap (B_{\delta }(\vec{v})\setminus \{\vec{v}\})\ne \varnothing$.