Grothendieck Topologies and Sheaves

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


The notion of a sheaf, presented as in Chapter II in terms of coverings, restrictions, and collation, can be defined and used (e.g., for cohomology) not just on the usual topological spaces but also on more general “topologies”. This section is meant to provide some informal background and motivation for the development of these general topological ideas.


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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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