First Properties of Elementary Topoi

  • Saunders Mac Lane
  • Ieke Moerdijk
Part of the Universitext book series (UTX)


In this chapter we present elementary conditions (or axioms) that make a category £ a topos, and then develop from these conditions and in a suitable order certain other basic properties. Most of these properties have already been seen to hold for our typical categories discussed in Chapter I, and for the categories of sheaves on a space (Chapter II) or on a site (Chapter III).


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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Saunders Mac Lane
    • 1
  • Ieke Moerdijk
    • 2
  1. 1.Department of MathematicsUniversity of ChicagoChicagoUSA
  2. 2.Mathematical InstituteUniversity of UtrechtUtrechtThe Netherlands

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