A characterization of representable intervals

Details A characterization of representable intervals A characterization of representable intervals

2009-03-22

arxiv.org/abs/0903.3743v1

Mathematics

Category Theory

21 pages

Scientific paper

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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