C-Rings as Variable Spaces

  • Ieke Moerdijk
  • Gonzalo E. Reyes


In this chapter we will consider the geometric aspect of C -rings. As a first step, we will introduce the category L of loci or formal C -varieties. These are just the duals of finitely generated C - rings. This category L contains the usual category of manifolds, but also other useful objects such as infinitesimal spaces. However, function spaces can in general not be constructed in L. This is only possible when the domain space is sufficiently small (the dual of a Weil algebra).


Variable Space Open Cover Natural Transformation Weil Algebra Opposite Category 
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Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • Ieke Moerdijk
    • 1
  • Gonzalo E. Reyes
    • 2
  1. 1.Mathematical InstituteUniversity of UtrechtUtrechtThe Netherlands
  2. 2.Department of MathematicsUniversity of MontrealMontrealCanada

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