Ishikawa: Families of functions dominated by distributions of $C$-classes of mappings

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Goo Ishikawa
Families of functions dominated by distributions of $C$-classes of mappings
Annales de l'institut Fourier, 33 no. 2 (1983), p. 199-217, doi: 10.5802/aif.924
Article PDF | Reviews MR 84g:58014 | Zbl 0488.58004

Résumé - Abstract

A subsheaf of the sheaf ${\cal E}_\Omega $ of germs $C^\infty $ functions over an open subset $\Omega $ of ${\bf R}^n$ is called a sheaf of sub $C^\infty $ function. Comparing with the investigations of sheaves of ideals of ${\cal E}_\Omega $, we study the finite presentability of certain sheaves of sub $C^\infty $-rings. Especially we treat the sheaf defined by the distribution of Mather’s ${\cal C}$-classes of a $C^\infty $ mapping.

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