## Differentiable structures on a generalized product of spheres.(English)Zbl 0627.57022

The author uses Munkres’ obstruction theory [J. Munkres, Ann. Math., II. Ser. 72, 521-554 (1960; Zbl 0108.181)] to classify all differentiable structures on a product of spheres $$S^{k_ 1}\times...\times S^{k_ r}$$, where $$2\leq k_ 1<k_ 2\leq...\leq k_ r$$, under the relation of orientation preserving diffeomorphism.
Reviewer: F.Gomez

### MSC:

 57R55 Differentiable structures in differential topology

### Keywords:

differentiable structures on a product of spheres

Zbl 0108.181
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