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arxiv: 1206.4284 · v2 · submitted 2012-06-19 · 🧮 math.CT

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Internal bicategories

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keywords categorybicategoriescategoriesframeworkinternalmonoidalsymmetricalgebra
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We define bicategories internal to 2-categories. When the ambient 2-category is symmetric monoidal categories, this provides a convenient framework for encoding the structures of a symmetric monoidal 3-category. This framework is well suited to examples arising in geometry and algebra, such as the 3-category of bordisms or the 3-category of conformal nets.

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