Definition:Topological Field

Definition
Let $\struct {F, +, \circ}$ be a field with zero $0_F$.

Let $\tau$ be a topology on $F$.

Let $\struct {F, +, \circ, \tau}$ be a topological division ring.

Then $\struct {F, +, \circ, \tau}$ is a topological field.

That is, a topological field is a commutative topological division ring.