Hostname: page-component-586b7cd67f-gb8f7 Total loading time: 0 Render date: 2024-11-26T11:45:25.198Z Has data issue: false hasContentIssue false
  • English
  • Français

A characterization of pie limits

Published online by Cambridge University Press:  24 October 2008

John Power  and
Edmund Robinson
John Power
Affiliation:
Laboratory for the Foundations of Computer Science, University of Edinburgh, Edinburgh EH9 3JZ, Scotland
Edmund Robinson
Affiliation:
School of Cognitive and Computing Sciences, University of Sussex, Falmer, Brighton BN1 6AA
Get access Rights & Permissions [Opens in a new window]

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).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 110 , Issue 1 , July 1991 , pp. 33 - 47
Copyright
Copyright © Cambridge Philosophical Society 1991

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

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