## Natural sheaves.(English)Zbl 0602.58004

Natural sheaves are introduced as functors on a category of smooth manifolds. The category of natural sheaves can be seen as an extension of the category of natural vector bundles, and is more appropriate to the study of natural differential operators. Those sheaves corresponding to natural bundles are classified. Cohomology with coefficients in natural sheaves are briefly discussed.

### MSC:

 58A99 General theory of differentiable manifolds 55N30 Sheaf cohomology in algebraic topology 55R25 Sphere bundles and vector bundles in algebraic topology