Highly divisible cycles in homological Atiyah-Hirzebruch spectral sequences
Abstract
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.
Fields of Study & Subjects
Advanced Combinatorial Mathematics
Molecular spectroscopy and chirality
Graph theory and applications
Publication details
- Journal / source
- Sbornik Mathematics
- Volume
- 217
- Issue
- 6
- Pages
- 839–849
- Publication date
- 1 January 2026
- Language
- EN