Let $\displaystyle X$ be a topological space.

Show that if a net $\displaystyle x_{i\ i \in I}$ in $\displaystyle X$ has an accumulation point $\displaystyle p$, then there is a subnet of $\displaystyle x_{i\ i \in I}$ that converge to $\displaystyle p$.

I assume this is the equivalent of subsequence convergence in a metric space.. i'm having hard time applying the net convergence definitions.