On Morita Contexts in Bicategories.

We characterize abstract Morita contexts in several bicategories. In particular, we use heteromorphisms for the bicategory $\mathbb{Prof} $ of categories and profunctors and coreflective subcategories for $\mathbb {Cat}$ (categories and functors). In addition, we prove general statements concerning strict Morita contexts, and we give new equivalent forms to the standard notions of adjointness, category equivalence and Morita equivalence by studying the collage of a profunctor. [ABSTRACT FROM AUTHOR]