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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

Citations:

Zbl 0742.00067
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