Geodesic
The set of rational homotopy types with given cohomology algebra
Homology, homotopy, and applications, Tome 5 (2003) no. 1, pp. 423-436.

Voir la notice de l'article provenant de la source International Press of Boston

For a given commutative graded algebra $A^*$, we study the set ${\cal M}_{A^*} =$ $\{\mbox{rational homotopy type of }X \ $ $| \ H^*(X;Q)\cong A^*\}$. For example, we see that if $A^*$ is isomorphic to $H^*(S^3\vee S^5\vee S^{16};Q)$, then ${\cal M}_{A^*}$ corresponds bijectively to the orbit space $P^3(Q)/Q^*\coprod \{*\}$, where $P^3(Q)$ is the rational projective space of dimension 3 and the point $\{*\}$ indicates the formal space.
DOI : 10.4310/HHA.2003.v5.n1.a18
Classification : 55P62
Keywords: rational homotopy type, minimal algebra, k-intrinsically formal (k-I.F.) 
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Hiroo Shiga; Toshihiro Yamaguchi. The set of rational homotopy types with given cohomology algebra. Homology, homotopy, and applications, Tome 5 (2003) no. 1, pp. 423-436. doi : 10.4310/HHA.2003.v5.n1.a18. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2003.v5.n1.a18/

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