Is every local system with fiber a vector space a locally free sheaf? What are the main differences between these two concepts?
I was playing with the sheaf of sections of $Mo \to S^1$ ($Mo=$Möbius strip) but I don't know if in this case I have to think about a locally free sheaf or a local system.
I was told here that the category of local systems is equivalent to the category of covering spaces then the sheaf of sections described above cannot be a local system right?