| Version 2 |
Version 1 |
| Two measures $\mu$ and $\nu$ in a measurable space $(\Omega,\mathcal{A})$ are |
Two measures $\mu$ and $\nu$ in a measurable space $(\Omega,\mathcal{A})$ are |
| called \emph{singular} if there exist two disjoint sets $A$ and $B$ in $\mathcal{A}$ such that $A\cup B =\Omega$ and $\mu(B)=\nu(A) = 0$. |
called \emph{singular} if there exist two disjoint sets $A$ and $B$ in $\mathcal{A}$ such that $A\cup B =\Omega$ and $\mu(B)=\nu(A) = 0$. |
| This is denoted by $\mu\perp\nu$. |
This is denoted by $\mu\perp\nu$. |
