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Groupes différentiels de physique mathématique. (English) Zbl 0541.58002
Feuilletages et quantification géométrique, Journ. lyonnaises Soc. math. France 1983, Sémin. sud-rhodanien Géom. II, 73-119 (1984).
[For the entire collection see Zbl 0521.00017.]
In the paper under review the author presents a generalization of the notion of differentiable manifold. The concept of differential space is introduced in an axiomatic way and some of its topological and geometrical properties are pointed out. Finally, using this notion the author gives a new generalization of the geometric quantization theory.
Reviewer: M.Puta

MSC:
58A05 Differentiable manifolds, foundations
53D50 Geometric quantization
58A40 Differential spaces