- a
conull set is a set
whose complement is null, i.e., the
measure of the
complement is zero. For example, the set of
irrational numbers is a
conull subset...
-
measure Measurable function Null set,
negligible set
Almost everywhere,
conull set Lp
space Borel–Cantelli
lemma Lebesgue's
monotone convergence theorem...
- or equivalently, if the set of
elements for
which the
property holds is
conull. In
cases where the
measure is not complete, it is
sufficient that the set...
-
countable and thus a null set, but not to
functions differentiable on a
conull set: The
Cantor function does not have the
Luzin N property, as the Lebesgue...
-
relation it is said to be
ergodic if all
saturated subsets are
either null or
conull. Schöpf, H.‐G. (January 1970). "<scp>V. I. Arnold</scp> and<scp> A. Avez</scp>...
- sets are
those with
measure zero or with full
measure (are null or are
conull); that they are
conservative then
follows trivially from this. When τ is...
-
Measure zero
Natural density Negligible set
Nowhere dense set Null set,
conull set
Partition regular Piecewise syndetic set
Schnirelmann density Small...
-
property Universally Baire set
Meager set
Comeager set - A
comeager set is one
whose complement is meager. Null set
Conull set
Dense set
Nowhere dense set...
-
under translates by σt as t runs over the
positive or
negative reals is
conull (i.e. the
complement has
measure zero).
Replacing X by
their intersection...
