  We investigate (non-)Abelian T-duality from the perspective of Poisson-Lie
T-plurality. We show that sigma models related by duality/plurality are given
not only by Manin triples obtained from decompositions of Drinfel'd double, but
also by their particular embeddings, i.e. maps that relate bases of these
decompositions. This allows us to get richer set of dual or plural sigma models
than previously thought. That's why we ask how T-duality is defined and what
should be the `canonical' duality or plurality transformation.
