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An arithmetic characterization of the rational homotopy groups of certain spaces

✍ Scribed by John B. Friedlander; Stephen Halperin


Publisher
Springer-Verlag
Year
1979
Tongue
English
Weight
686 KB
Volume
53
Category
Article
ISSN
0020-9910

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The rational homotopy Lie algebra of cla
✍ Samuel Bruce Smith πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 117 KB

We compute the center and nilpotency of the graded Lie algebra \* ( Baut1(X ))βŠ—Q for a large class of formal spaces X: The latter calculation determines the rational homotopical nilpotency of the space of self-equivalences aut1(X ) for these X . Our results apply, in particular, when X is a complex