Definition 5.19.1 (Support).label Let $X$ be a topological space, $E$ be a TVS over $K \in \RC$, and $f \in C(X; E)$, then $\supp{f}= \ol{\bracs{f \ne 0}}$ is the support of $f$.
Definition 5.19.1 (Support).label Let $X$ be a topological space, $E$ be a TVS over $K \in \RC$, and $f \in C(X; E)$, then $\supp{f}= \ol{\bracs{f \ne 0}}$ is the support of $f$.