Topological Vector Space
# Definition
Let $X$ be a Topological Space that is also a Vector Space over Topological Field $F$. Then $X$ is a Topological Vector Space if $+ : X \times X \to X$ and $*: F \times X$ are both continuous.
Search
Let $X$ be a Topological Space that is also a Vector Space over Topological Field $F$. Then $X$ is a Topological Vector Space if $+ : X \times X \to X$ and $*: F \times X$ are both continuous.