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arxiv: 1112.0560 · v2 · pith:2SU37U2Inew · submitted 2011-12-02 · 🧮 math.CT

Spans in 2-Categories: A monoidal tricategory

classification 🧮 math.CT
keywords categoriesmonoidalspanstricategorylimitstetracategorycertainconstruction
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We present Trimble's definition of a tetracategory and prove that the spans in (strict) 2-categories with certain limits have the structure of a monoidal tricategory, defined as a one-object tetracategory. We recall some notions of limits in 2-categories for use in the construction of the monoidal tricategory of spans.

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