## Locally finitely generated differential spaces of class $$C^ r$$.(English)Zbl 0749.58007

Geometry and physics, Proc. Winter Sch., Srni/Czech. 1990, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 26, 57-66 (1991).
[For the entire collection see Zbl 0742.00067.]
The authors study differential spaces of class $$C^ r$$, which are generalizations of differential spaces introduced by R. Sikorski. They consider differential structures of functions of class $$C^ r$$ ($$r\in\mathbb{N}\cup\{\infty,\omega\}$$) with values in $$\mathbb{K}$$ (= $$\mathbb{R}$$ or $$\mathbb{C}$$) and investigate some properties of differential spaces which are locally generated by a family of $$\mathbb{K}$$-valued functions.

### MSC:

 58A40 Differential spaces

### Keywords:

differential space; locally finitely generated

Zbl 0742.00067