Nilpotent spaces: some inequalities on nilpotency degrees
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- by Augusto Reynol Filho PDF
- Proc. Amer. Math. Soc. 115 (1992), 501-512 Request permission
Abstract:
Our purpose in this work is to compare the nilpotency degree of the action of ${\pi _1}(X)$ on ${\pi _n}(X)\quad (2 \leq n \leq 7)$ with the one of the action of ${\pi _1}(X)$ on $Hn(\tilde X)$. We work in the category of the nilpotent spaces (here $\tilde X$ means the universal cover of $X$). The main point in the proof of the main theorems, which yields such inequalities, is the reiterated use of the Serre spectral sequence.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 501-512
- MSC: Primary 55P60; Secondary 55Q99
- DOI: https://doi.org/10.1090/S0002-9939-1992-1093597-8
- MathSciNet review: 1093597