Is the Levi-Civita symbol a tensor?
R. A. Sharipov afirm (In "Quick Introduction to Tensor Analysis", page 30) that "...the Levi-Civita symbol is NOT a tensor..."
$\epsilon_{jkq}=\epsilon^{jkq}=\left\{\begin{array}{cc}0, & \mbox{if among $j$, $k$, $q$ there are at least two equal numbers} \\ 1 & \mbox{if $(j,k,q)$ is even permutation of numbers $(1,2,3)$} \\ -1 & \mbox{if $(j,k,q)$ is odd permutation of numbers}\end{array}\right.$
What does that phrase mean?
Thanks!