A characterization of representable intervals
classification
🧮 math.CT
keywords
categorycharacterizationintervalsrepresentablestructureadditionalalgebraicbicomplete
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In this note we provide a characterization, in terms of additional algebraic structure, of those intervals (certain cocategory objects) in a symmetric monoidal closed category E that are representable in the sense of inducing on E the structure of a finitely bicomplete 2-category. Several examples and connections with the homotopy theory of 2-categories are also discussed.
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