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

Borgiel, Włodzimierz; Buchner, Klaus; Sasin, Wiesław

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.

Reviewer: J.Szilasi (Debrecen)

MSC:

58A40

Differential spaces

Keywords:

differential space; locally finitely generated

Citations:

Zbl 0742.00067