# Talk:Pointwise Lower Limit of Measurable Functions is Measurable

If you look at it, the lower limit as defined for topological spaces is actually employing the same construction as a lower limit of sets. Except it's more general than using just a sequence. I would take into account that we should always say "the lower limit of $f$ at $x_0$" or "the lower limit of $(x_n)_n$", or "the lower limit of $(A_n)_n$". So the chances of confusing things are not astronomical. So perhaps not everything has to be changed. — Lord_Farin (talk) 15:51, 9 June 2015 (UTC)