A nilpotent infinitesimal extension of \(\mathfrak R\) (Q2753265)
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scientific article; zbMATH DE number 1667815
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A nilpotent infinitesimal extension of \(\mathfrak R\) |
scientific article; zbMATH DE number 1667815 |
Statements
11 March 2002
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smooth infinitesimal analysis
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microstraightness
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nilsquare infinitesimals
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smooth analysis
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smooth real line
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0.8514731
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0.8487835
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0.84146154
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0.8404707
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0.84019756
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A nilpotent infinitesimal extension of \(\mathfrak R\) (English)
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The purpose of this article is an attempt to model in an elementary fashion the basic principles of the theory of smooth infinitesimal analysis such as the principle of microstraightness that is based on the properties of the so-called nilsquare infinitesimals of smooth analysis. The smooth real line used for this purpose only weakly resembles the real line of smooth analysis. This perhaps could be confusing to the reader.
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