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On Morita Contexts in Bicategories

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Abstract

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.

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  1. Eötvös Loránd University, Budapest, Hungary

    Bertalan Pécsi

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  1. Bertalan Pécsi
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Correspondence to Bertalan Pécsi.

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Pécsi, B. On Morita Contexts in Bicategories. Appl Categor Struct 20, 415–432 (2012). https://doi.org/10.1007/s10485-011-9247-2

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