If is a sigma-algebra
and
is a subset of
, then
is called measurable if
is a member of
.
need not have, a priori, a topological structure. Even if it does, there may be no
connection between the open sets in the topology and the given sigma-algebra.
Measurable Set
See also
Measurable Space, Sigma-AlgebraExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Measurable Set." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/MeasurableSet.html