no. 2
Families of functions dominated by distributions of C-classes of mappings
Annales de l'Institut Fourier, Tome 33 (1983) no. 2, pp. 199-217

A subsheaf of the sheaf ℰ Ω of germs C ∞ functions over an open subset Ω of R n is called a sheaf of sub C ∞ function. Comparing with the investigations of sheaves of ideals of ℰ Ω , we study the finite presentability of certain sheaves of sub C ∞ -rings. Especially we treat the sheaf defined by the distribution of Mather’s 𝒞-classes of a C ∞ mapping.

Un sous-faisceau du faisceau ℰ Ω des germes de fonctions C ∞ sur un ouvert Ω de R n est appelé un faisceau de sous-anneaux C ∞ s’il est fermé pour l’opération définie par la composition avec toute fonction C ∞ . En comparant avec les investigations de faisceaux d’idéaux de ℰ Ω , on étudie la présentabilité finie de certains faisceaux de sous-anneaux C ∞ . En particulier, on traite le faisceau défini par la distribution de 𝒞-classes de Mather d’une application C ∞ .

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     author = {Ishikawa, Goo},
     title = {Families of functions dominated by distributions of $C$-classes of mappings},
     journal = {Annales de l'Institut Fourier},
     pages = {199--217},
     publisher = {Institut Fourier},
     address = {Grenoble},
     volume = {33},
     number = {2},
     year = {1983},
     doi = {10.5802/aif.924},
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     mrnumber = {84g:58014},
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     url = {https://aif.centre-mersenne.org/articles/10.5802/aif.924/}
}
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Ishikawa, Goo. Families of functions dominated by distributions of $C$-classes of mappings. Annales de l'Institut Fourier, Tome 33 (1983) no. 2, pp. 199-217. doi: 10.5802/aif.924

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