%0 Journal Article %T A characterization of representable intervals %A Michael A. Warren %J Mathematics %D 2009 %I arXiv %X 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. %U http://arxiv.org/abs/0903.3743v2