pointwise convergence

Let $X$ be any set, and let $Y$ be a topological space. A sequence $f_{1},f_{2},\dots$ of functions mapping $X$ to $Y$ is said to be pointwise convergent (or simply convergent) to another function $f$, if the sequence $f_{n}(x)$ converges to $f(x)$ for each $x$ in $X$. This is usually denoted by $f_{n}\rightarrow f$.

Title pointwise convergence PointwiseConvergence 2013-03-22 13:15:28 2013-03-22 13:15:28 Koro (127) Koro (127) 4 Koro (127) Definition msc 40A30 pointwise