countably

This measure is also countably additive in a certain refined sense.

A construction adding at most countably many points is given in .

Like the natural numbers, the integers form a countably infinite set.

For example, there are only countably many sets, so one might think that these should be non-random.

It is known that there are only countably many numbers α with this property.

It is, however, strongly Lindelöf since there are only countably many open sets.

However, as the Vitali set shows, it cannot be countably additive.

However, it always contains a countably separated subset of full measure.

With the help of this procedure one can produce countably infinite many differential structures.

This guarantees that a countably infinite number of steps is performed by noon.

By further axioms, this set is asserted to be countably infinite.

Law of Countability: There are at most countably many events.

It has a countably infinite set of ideal classes.

The first kind has 18 countably infinite families.

There exists a surjective map from A onto a countably infinite set.

To get a handle on the proof, let's examine it for the specific case when X is countably infinite.

Note that this does not define a measure in the usual sense, which is required to be countably additive.

Gödel also considered the case where there are a countably infinite collection of formulas.

A universe (mathematics) obtained from a set by taking the power set countably many times.

In mathematics, the term countably generated can have several meanings:

It is however countably compact and thus not Lindelöf.

For a countably infinite set the set of possible order types is even uncountable.

A countable collection of sets is necessarily countably locally discrete.

The free lattice in three generators is countably infinite.

Every intersection of countably many dense open sets is dense.