DOI: 10.4213/sm10399e ISSN: 1064-5616

Highly divisible cycles in homological Atiyah-Hirzebruch spectral sequences

Vasilii Yur'evich Rozhdestvenskii

Let $F_*$ be a homology theory of finite type, and let $\{E^r_{s,t}(X)={Z^r_{s,t}(X)}/{B^r_{s,t}(X)}; d^r_{s,t}\}$ denote the Atiyah-Hirzebruch spectral sequence for $F_*$ of a $\mathrm{CW}$-complex $X$. We study elements of maximum possible order of the groups $E^2_{n,0}(X)/Z^{r}_{n,0}(X)$. Bibliography: 11 titles.

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