One very general version in measure theory is the following :
These separate definitions can be more closely related in terms of measure theory.
This paradoxical result is explained by measure theory as follows.
The existence and regularity problems are part of geometric measure theory.
In general, it is a result in measure theory.
More generally, in measure theory and probability theory, either sort of mean plays an important role.
Varifolds are the topic of study in geometric measure theory.
In the context of measure theory, it is usual to take to be 0.
His covering theorem is a fundamental result in measure theory.
In particular, is always finite, in contrast with more general measure theory.