We analyze, in three space-time dimensions, the connection between Abelian
self-dual vector doublets and their counterparts containing both an explici
t mass and a topological mass. Their correspondence is established in the L
agrangian formalism using an operator approach as well as a path integral a
pproach. A canonical Hamiltonian analysis is presented, which also shows th
e equivalence with the Lagrangian formalism. The implications of our result
s for bosonization in three dimensions are discussed.