• Saunders Mac Lane
Part of the Graduate Texts in Mathematics book series (GTM, volume 5)


This chapter examines the construction and properties of limits, as well as the relation of limits to adjoints. This relation is then used in the basic existence theorems for adjoint functors, which give universals and adjoints in a wide variety of cases. The chapter closes with some indications of the uses of adjoint functors in topology.


Full Subcategory Hausdorff Space Compact Hausdorff Space Left Adjoint Forgetful Functor 
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  1. Bourbaki, N. [ 1957 ]. Éléments de mathématique, Vol. XXII, Théorie des ensembles, Livre I, Structures, ch. 4. Actualités scientifiques et industrielles, 1258. Paris: Hermann 1957.Google Scholar
  2. Freyd, P. [ 1964 ]: Abelian categories: An introduction to the theory of functors. New York: Harper and Row 1964.zbMATHGoogle Scholar
  3. Kelly, G.M. [1964]: On Mac Lane’s condition for coherence of natural associativities. J. Algebra 1, 397–402 (1964).CrossRefzbMATHMathSciNetGoogle Scholar
  4. Kelly, G.M.K[1982]: Basic concepts of enriched category theory. LMS Lecture Notes. Cambridge: Cambridge University Press 1982.Google Scholar
  5. Kelly, G.M., Street, R. [ 1974 ]: Review of the elements of 2-categories, pp. 75–103. Vol. 420. Springer Lecture Notes in Mathematics. Berlin: Springer 1974.Google Scholar

Copyright information

© Springer Science+Business Media New York 1978

Authors and Affiliations

  • Saunders Mac Lane
    • 1
  1. 1.Department of MathematicsUniversity of ChicagoChicagoUSA

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