Induced Exact Sequence of Dual Spaces
I was able to prove the result for short exact sequences, but my instructor did not say short exact sequence, just sequence. So it is not given that the maps in the sequence are injective or surjective. Is there a counterexample to the sequence of duals being exact if g in
$V \xrightarrow{f} V' \xrightarrow{g} V''$ is not surjective?