C ∞-Rings

Ieke Moerdijk and Gonzalo E. Reyes
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Ieke Moerdijk: University of Utrecht, Mathematical Institute
Gonzalo E. Reyes: University of Montreal, Department of Mathematics

Chapter Chapter I in Models for Smooth Infinitesimal Analysis, 1991, pp 15-55 from Springer

Abstract: Abstract 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.

Keywords: Open Neighbourhood; Local Ring; Maximal Ideal; Commutative Algebra; Inverse Limit (search for similar items in EconPapers)
Date: 1991
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DOI: 10.1007/978-1-4757-4143-8_2

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