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A characterization of representable intervals

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Michael A. Warren

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

2000 MSC:
Primary: 18D05, Secondary: 18D35

*Theory and Applications of Categories,*
Vol. 26, 2012,
No. 8, pp 204-232.

Published 2012-04-19.

http://www.tac.mta.ca/tac/volumes/26/8/26-08.dvi

http://www.tac.mta.ca/tac/volumes/26/8/26-08.ps

http://www.tac.mta.ca/tac/volumes/26/8/26-08.pdf

ftp://ftp.tac.mta.ca/pub/tac/html/volumes/26/8/26-08.dvi

ftp://ftp.tac.mta.ca/pub/tac/html/volumes/26/8/26-08.ps

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