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Commutator calculus and groups of homotopy classes. (English) Zbl 0473.55001

London Mathematical Society Lecture Note Series, 50. Cambridge etc.: Cambridge University Press. IV, 160 p. £10.00 (1981).

MSC:

55-02 Research exposition (monographs, survey articles) pertaining to algebraic topology
55Q05 Homotopy groups, general; sets of homotopy classes
55P62 Rational homotopy theory
55Q25 Hopf invariants
20F12 Commutator calculus
55P15 Classification of homotopy type
55P35 Loop spaces
55P40 Suspensions
55P60 Localization and completion in homotopy theory
55P65 Homotopy functors in algebraic topology
55Q15 Whitehead products and generalizations
55Q20 Homotopy groups of wedges, joins, and simple spaces
55Q35 Operations in homotopy groups
55Q40 Homotopy groups of spheres
20F18 Nilpotent groups
17B30 Solvable, nilpotent (super)algebras