Grothendieck Topoi

  • Cecilia Flori
Part of the Lecture Notes in Physics book series (LNP, volume 944)


In this chapter we will describe the topos of sheaves over a category \(\mathcal {C}\) equipped with a Grothendieck topology. In [26] we came across the definition of sheaf over a topological space X. This definition relied solely on the lattice of open sets of the topological space X, i.e. on the topology. In this chapter we would like to extend the notion of topology so as to be able to define sheaves on this more general ‘topology’.


  1. 26.
    C. Flori, A First Course in Topos Quantum Theory. Lecture Notes in Physics, vol. 868 (Springer, Heidelberg, 2013)Google Scholar
  2. 55.
    S. MacLane, I. Moerdijk, Sheaves in Geometry and Logic: A First Introduction to Topos Theory (Springer, London, 1968)Google Scholar

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© Springer International Publishing AG 2018

Authors and Affiliations

  • Cecilia Flori
    • 1
  1. 1.Computing and Mathematical SciencesThe Waikato UniversityHamiltonNew Zealand

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