nLab
representable 2-category

Contents

Context

\infty-Limits

2-Category theory

Contents

Idea

A 2-category is representable when it admits pullbacks and cotensors with the interval category. A 2-category has finite limits when it is representable and has a terminal object.

References

  • John Gray, The meeting of the Midwest Category Seminar in Zurich August 24–30, 1970, Lecture Notes in Mathematics, vol 195. Springer 1971, pp. 254–255 (doi:10.1007%2FBFb0072315)

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