Baues, Hans Joachim 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). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 4 ReviewsCited in 23 Documents 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 Keywords:extending the solution of a rational homotopy problem to a subring of the rationals; homotopy operations; nilpotent group theory; nilpotent Lie algebra theory; commutator calculus; homotopy theory over a subring of the rationals; Zassenhaus formula; Baker-Campbell-Hausdorff formula; distributivity laws in homotopy theory; Whitehead and Samelson products; smash products; cup products; higher James-Hopf invariants; Hilton-Hopf invariants; homotopy Lie algebra of a space; rational homotopy Lie algebra; R-local spheres; decomposable loop spaces and suspensions PDF BibTeX XML