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On the homotopy type of classifying spaces

✍ Scribed by Tammo tom Dieck


Publisher
Springer
Year
1974
Tongue
English
Weight
356 KB
Volume
11
Category
Article
ISSN
0025-2611

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πŸ“œ SIMILAR VOLUMES


The homotopy Lie algebra of classifying
✍ J.-B. Gatsinzi πŸ“‚ Article πŸ“… 1997 πŸ› Elsevier Science 🌐 English βš– 526 KB

Let X be a l-connected CW-complex of finite type and LX its rational homotopy Lie algebra. In this work, we show that there is a spectral sequence whose E2 term is the Lie algebra Extur,(Q, LX), and which converges to the homotopy Lie algebra of the classifying space BauH. Moreover, some terms of t

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