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On the formality of products and wedges. (English) Zbl 0654.55009
Geometry and physics, Proc. Winter Sch., SrnĂ®/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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