• Corpus ID: 119312292

Peetre-Slovak's theorem revisited

  title={Peetre-Slovak's theorem revisited},
  author={Jos'e Navarro and Juan Blanco Sancho},
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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  • Geom. Appl. 38,
  • 2015