- {\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...
- and in
particular measure theory, a
measurable function is a
function between the
underlying sets of two
measurable spaces that
preserves the structure...
- be ****igned a
Lebesgue measure are
called Lebesgue-
measurable; the
measure of the Lebesgue-
measurable set A is here
denoted by λ(A).
Henri Lebesgue described...
- 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...
- 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...
- 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...
- In mathematics, a
measurable cardinal is a
certain kind of
large cardinal number. In
order to
define the concept, one
introduces a two-valued
measure on...
-
category of
measurable spaces,
often denoted Meas, is the
category whose objects are
measurable spaces and
whose morphisms are
measurable maps. This is...
- 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...
- In mathematics,
progressive measurability is a
property in the
theory of
stochastic processes. A
progressively measurable process,
while defined quite...
