In this chapter we will introduce the rings that will play a rôle in this book which is similar to the rôle played in algebraic geometry by ordinary commutative rings with 1. These are the so-called C ∞-rings. The general notion of C ∞-ring as such does not occur in classical analysis and differential topology. However, the main examples of C ∞-rings occupy a central position in singularity theory and related subjects.
KeywordsOpen Neighbourhood Local Ring Maximal Ideal Commutative Algebra Inverse Limit
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