Geodesic
A First Approximation to {X, Y}
Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 702-711

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

If C and C′ are classes of finite abelian groups, we write C + C′ for the smallest class containing the groups of C and of C′. For any positive number r, C < r is the smallest class of abelian groups which contains the groups Zp for all primes p less than r.Our aim in this paper is to prove the following theorem.THEOREM. Iƒ C is a class of finite abelian groups and(i) πi (Y) ∈C for i < n, (ii) H*(X; Z) is finitely generated,(iii) Hi(X;Z)∈ C for i > n + k, Then This statement contains many of the classical results of homotopy theory: the Hurewicz and Hopf theorems, Serre's (mod C) version of these theorems, and Eilenberg's classification theorem. In fact, these are all contained in the case k = 0. 
Brown, Benson Samuel. A First Approximation to {X, Y}. Canadian journal of mathematics, Tome 21 (1969) no. 1, pp. 702-711. doi: 10.4153/CJM-1969-079-4
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