Geodesic
An Inequality Between Numerical Homotopy Invariants
Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1295-1299

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

In (1), Berstein and Ganea denned the nilpotency class of a based topological space. For a based topological space X we write nil X for the nilpotency class of the group ΩX in the category of based topological spaces and based homotopy classes. Hilton, in (3), defined the nilpotency class, nil class K of a based semi-simplicial (s.-s.) complex; actually, the restriction of connectedness can be removed. Hence, by using the total singular complex functor S, an invariant (nil class SX) can be defined for a based topological space X. 
Priddis, M. J. M. An Inequality Between Numerical Homotopy Invariants. Canadian journal of mathematics, Tome 20 (1968) no. 1, pp. 1295-1299. doi: 10.4153/CJM-1968-127-7
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[1] 1. Berstein, I. and Ganea, T., Homotopical nilpotency, Illinois J. Math. 5 (1961), 99–130. Google Scholar

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