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A characterization of pie limits

  • John Power (a1) and Edmund Robinson (a2)

Extract

It is well-known that limits in 2-categories are more complex than limits in ordinary categories. Most readers will at least be familiar with terms such as ‘lax limit’ and ‘pseudo-limit’. In the more modern treatments, these become special cases of a more general class of ‘weighted’ or ‘indexed’ limits (see Kelly [7] and Section 1 of this paper).

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COPYRIGHT: © Cambridge Philosophical Society 1991

References

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[1]Albert, M. H. and Kelly, G. M.. The closure of a class of colimits. J. Pure Appl. Alg. 51 (1988), 1–17.
[2]Bird, G. J.. Limits in 2-categories of locally-presentable categories. PhD thesis, University of Sydney (1984).
[3]Bird, C. J., Kelly, G. M., Power, A. J. and Street, R.. Flexible limits for 2-categories. J. Pure Appl. Alg. 61(1989), 1–27.
[4]Blackwell, R.. Kelly, G. M. and Power, A. J.. Two-dimensional monad theory. J. Pure Appl. Alg. 59 (1989), 1–41.
[5]Kelly, G. M.. Basic Concepts of Enriched Category Theory. London Math. Soc. Lecture Notes (Cambridge University Press, 1982).
[6]Kelly, G. M.. Structures defined by finite limits in the enriched context I. Cahiers Topologie Géom. Différentielle Catégoriques 23 (1982), 3–42.
[7]Kelly, G. M.. Elementary observations on 2-categorical limits. Bull. Austral. Math. Soc. (2) 39 (1989), 301–317.
[8]Street, R.. Limits indexed by category-valued 2-functors. J. Pure Appl. Alg. 8 (1976), 149–181.
  • Cited by 10

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A characterization of pie limits

  • John Power (a1) and Edmund Robinson (a2)

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