Definition:Atom of Measure

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

An element $x \in X$ is said to be an atom (of $\mu$) :


 * $(1): \quad \set x \in \Sigma$
 * $(2): \quad \map \mu {\set x} > 0$

Also see

 * Definition:Diffuse Measure: a measure without atoms