Geodesic
H-Equivalence Classes of Multiplications on Certain Fiber Spaces
Canadian journal of mathematics, Tome 27 (1975) no. 4, pp. 752-765

Voir la notice de l'article provenant de la source Cambridge University Press

The enumeration of the H-equivalence classes of multiplications on a space is a topic of current interest. In this paper we try to study the H-equivalence classes of multiplications on a CW complex X with finitely many non-vanishing homotopy groups, by using the Postnikov decomposition of X and multiplier arguments [1; 4], This paper presents a way to compute the set of H-equivalence classes of multiplications on X from the knowledge of certain quotient sets of H*(B Λ B, ∑) and some homotopy equivalences of B, where B represents the spaces in the Postnikov decomposition of X, and ∑ denotes abelian groups corresponding to the homotopy groups of X. 
Cheng, Chao-Kun. H-Equivalence Classes of Multiplications on Certain Fiber Spaces. Canadian journal of mathematics, Tome 27 (1975) no. 4, pp. 752-765. doi: 10.4153/CJM-1975-084-7
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[1] 1. Cheng, C. K., Multiplications on a space with finitely many non-vanishing homotopy groups, Can. J. Math. 24 (1972), 1052–1062. Google Scholar

[2] 2. James, I. M., On H-spaces and their homotopy groups, Quart. J. Math. Oxford Ser. 11 (1960), 161–179. Google Scholar

[3] 3. Kahn, D. W., Induced maps for Postnikov systems, Trans. Amer. Math. Soc. 107 (1963), 432–450. Google Scholar

[4] 4. Stasheff, J. D., On extensions of Espaces, Trans. Amer. Math. Soc. 105 (1962), 126–135. Google Scholar

[5] 5. Stasheff, J. D., H-space problems, H-spaces, Neuchâtel (Suisse), Août 1970 (Springer-Verlag Notes, Vol. 196) 122–136. Google Scholar

[6] 6. Williams, F. D., Quasi-commutativity of H-spaces, Michigan Math. J. 19 (1972), 209–213. Google Scholar

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