# Peetre-Slovak's theorem revisited

@inproceedings{Navarro2014PeetreSlovaksTR, title={Peetre-Slovak's theorem revisited}, author={Jos'e Navarro and Juan Blanco Sancho}, year={2014} }

AbstractIn 1960, J. Peetre proved the ﬁniteness of the order of linear local operators. Lateron, J. Slov´ak vastly generalized this theorem, proving the ﬁniteness of the order of abroad class of (non-linear) local operators.In this paper, we use the language of sheaves and ringed spaces to prove a simplerversion of Slov´ak’s result. The statement we prove deals with local operators deﬁnedbetween the sheaves of smooth sections of ﬁbre bundles, and thus covers many of theapplications of Slov´ak’s…

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