The Whitehead theorem for nilpotent spaces
Abstract: An easy argument is given for the theorem of the title.
-  Emmanuel Dror, A generalization of the Whitehead theorem, Symposium on Algebraic Topology (Battelle Seattle Res. Center, Seattle, Wash., 1971) Springer, Berlin, 1971, pp. 13–22. Lecture Notes in Math., Vol. 249. MR 0350725
-  John Stallings, Homology and central series of groups, J. Algebra 2 (1965), 170–181. MR 0175956, https://doi.org/10.1016/0021-8693(65)90017-7
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