C-Rings as Variable Spaces

  • Ieke Moerdijk
  • Gonzalo E. Reyes

Abstract

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).

Keywords

Variable Space Open Cover Natural Transformation Weil Algebra Opposite Category 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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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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