- and in
particular measure theory, a
measurable function is a
function between the
underlying sets of two
measurable spaces that
preserves the structure...
- In mathematics, a
measurable space or
Borel space is a
basic object in
measure theory. It
consists of a set and a σ-algebra,
which defines the subsets...
- In mathematics,
progressive measurability is a
property in the
theory of
stochastic processes. A
progressively measurable process,
while defined quite...
- In mathematics, a non-
measurable set is a set
which cannot be ****igned a
meaningful "volume". The
existence of such sets is
construed to
provide information...
- Bochner-
measurable function taking values in a
Banach space is a
function that
equals almost everywhere the
limit of a
sequence of
measurable countably-valued...
- be ****igned a
Lebesgue measure are
called Lebesgue-
measurable; the
measure of the Lebesgue-
measurable set A {\displaystyle A} is here
denoted by λ ( A )...
- {\displaystyle (X,\Sigma )} is
called a
measurable space, and the
members of Σ {\displaystyle \Sigma } are
called measurable sets. A
triple ( X , Σ , μ ) {\displaystyle...
- {\displaystyle A} of a
Polish space X {\displaystyle X} is
universally measurable if it is
measurable with
respect to
every complete probability measure on X {\displaystyle...
- is an
elementary example of a set of real
numbers that is not
Lebesgue measurable,
found by
Giuseppe Vitali in 1905. The
Vitali theorem is the existence...
- {S}}} , then it is
called a
measurable group action. In this case, the
group G {\displaystyle G} is said to act
measurably on S {\displaystyle S} . One...
