Definition:Uniform Convergence of Product/Compact Space

Definition
Let $X$ be a compact topological space.

Let $\mathbb K$ be a field with absolute value $\left\vert{\cdot}\right\vert$.

Let $(f_n)$ be a sequence of continuous mappings $f_n:X\to \mathbb K$.

Also see

 * Equivalence of Definitions of Uniformly Convergent Product
 * Definition:Uniform Absolute Convergence of Product