منابع مشابه
Homotopical Nilpotence of S3
In [l] Berstein and Ganea define the nilpotence of an ü-space to be the least integer » such that the »-commutator is nullhomotopic. We prove that S3 with the usual multiplication is 4 nilpotent. Let X be an ii-space. The 2-commutator c2: XXX—>X is defined by c2(x, y) =xyx~1y~1 where the multiplication and inverses are given by the ü-space structure of X. The »-commutator cn: X"-+X is defined i...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1978
ISSN: 0022-040X
DOI: 10.4310/jdg/1214434601