I got a hold of an undergrad math meth book by Arfken. In the chapter on tensors, it is said that the Levi-Civita symbol isn't really a tensor, but a pseudo-tensor. Any comments on this, and how it relates to the discussion? Does this mean that the dot product in question isn't really a scalar, but a pseudo-scalar? Is this only the case for the Levi-Civita symbol in 3-D, and in 4-D it is
a true tensor?