In order to turn a topological space into a measurable space one endows it with a ?-algebra.
12.
There exist measurable spaces that are not Borel spaces, for any choice of topology on the underlying space.
13.
Let be a probability space, then a random measure maps from this probability space to the measurable space.
14.
Every injective measurable function from a " standard " probability space to a " standard " measurable space is generating.
15.
A tone is not a point on a musical plane; it is a measurable space with top and bottom limits.
16.
A function between two measurable spaces is called a measurable function if the preimage of every measurable set is measurable.
17.
In the formal notation of above a random counting measure is a map from a probability space to the measurable space a measurable space.
18.
In the formal notation of above a random counting measure is a map from a probability space to the measurable space a measurable space.
19.
The collection of measurable spaces forms a Measures are defined as certain types of functions from a " ? "-algebra to [ 0, " ].
20.
Let be a probability space, then a random measure maps from this probability space to the measurable space . A measure generally might be decomposed as:
