On the homotopy type of classifying spaces
β 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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π SIMILAR VOLUMES
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
We compute the center and nilpotency of the graded Lie algebra \* ( Baut1(X ))βQ 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