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On the formality of products and wedges. (English) Zbl 0654.55009
Geometry and physics, Proc. Winter Sch., Srnî/Czech. 1987, Suppl. Rend. Circ. Mat. Palermo, II. Ser. 16, 199-206 (1987).
[For the entire collection see Zbl 0634.00015.]
A simply connected space is called intrinsically formal (over $${\mathbb{Q}})$$ if its rational homotopy type is uniquely determined by its cohomology algebra with coefficients in $${\mathbb{Q}}$$. The main result of this paper reads: Let $$X_ 1,...,X_ n$$ be simply connected spaces having the rational cohomology of finite type. If the space $$X_ 1\times...\times X_ n$$ or $$X_ 1\vee...\vee X_ n$$ is intrinsically formal, then each $$X_ 1,...,X_ n$$ is intrinsically formal, too.
Reviewer: J.C.Thomas
MSC:
 55P62 Rational homotopy theory
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