Almost everywhere convergence of a sequence of functions 
to a function 
on a measure space 
means that 
for every 
in a measurable set 
such that 
.
Almost Everywhere Convergence
See also
Convergence, Pointwise ConvergenceExplore with Wolfram|Alpha
References
Browder, A. Mathematical Analysis: An Introduction. New York: Springer-Verlag, 1996.Referenced on Wolfram|Alpha
Almost Everywhere ConvergenceCite this as:
Weisstein, Eric W. "Almost Everywhere Convergence." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/AlmostEverywhereConvergence.html