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K-differential spaces as sheaves. Induced and coinduced structure

Piątkowski A.

Demonstratio Mathematica

2005

Vol. 38, nr 2

495--506

Any K-differential space determines the sheaf of germs of its elements. We consider the K-differential space induced and coinduced by a single mapping. In this special case, we compare the sheaf of germs of the induced K-differential space with the inverse image of the sheaf of germs of a given K-differential space, and the sheaf of germs of the coinduced K-differential space with the image of the sheaf of germs of a given K-differential space.