In a reference, I read that topology of $L^p(\mathbb{R}^n)$, $1\leq p\leq \infty$. What is the topology of $L^p(\mathbb{R}^n)$?
I know that $f\in L^p$, $\|f\|\_{p}^{p}=\int\_{\mathbb{R}^n}|f(x)|^{p}dx$. Then, the topology is $\tau=\left\{B(f,r):f\in L^p, r>0\right\}$?