Category:Definitions/Intersection Measures

This category contains definitions related to Intersection Measures.
Related results can be found in Category:Intersection Measures.

Let $\struct {X, \Sigma, \mu}$ be a measure space.

Let $F \in \Sigma$.

Then the intersection measure (of $\mu$ by $F$) is the mapping $\mu_F: \Sigma \to \overline \R$, defined by:

$\map {\mu_F} E = \map \mu {E \cap F}$

for each $E \in \Sigma$.