Topological Field
# Definition
Let $F$ be a Field that is also a Topological Space. Then $F$ is a Topological Field if the operations $+: F \times F \to F$, $*: F \times F \to F$, $x \mapsto -x$, and $x \mapsto x^{-1}$ are all continuous.
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Let $F$ be a Field that is also a Topological Space. Then $F$ is a Topological Field if the operations $+: F \times F \to F$, $*: F \times F \to F$, $x \mapsto -x$, and $x \mapsto x^{-1}$ are all continuous.