Highly divisible cycles in homological Atiyah-Hirzebruch spectral sequences
Fuente:
arXiv
Enregistré dans:
| Auteur principal: | |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866912561826365440 |
|---|---|
| author | Rozhdestvenskii, Vasilii |
| author_facet | Rozhdestvenskii, Vasilii |
| contents | Let $F_*$ be a homology theory of finite type and $\{E^r_{s,t}(X)=\frac{Z^r_{s,t}(X)}{B^r_{s,t}(X)}; d^r_{s,t}\}$ denote the Atiyah-Hirzebruch spectral sequence for $F_*$ of a $CW$-complex $X$. In this paper we study elements of the maximal possible order in the groups $E^2_{n,0}(X)/Z^{r}_{n,0}(X)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_09769 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Highly divisible cycles in homological Atiyah-Hirzebruch spectral sequences Rozhdestvenskii, Vasilii Algebraic Topology 55T25 (Primary) 55N20, 55M05 (Secondary) Let $F_*$ be a homology theory of finite type and $\{E^r_{s,t}(X)=\frac{Z^r_{s,t}(X)}{B^r_{s,t}(X)}; d^r_{s,t}\}$ denote the Atiyah-Hirzebruch spectral sequence for $F_*$ of a $CW$-complex $X$. In this paper we study elements of the maximal possible order in the groups $E^2_{n,0}(X)/Z^{r}_{n,0}(X)$. |
| title | Highly divisible cycles in homological Atiyah-Hirzebruch spectral sequences |
| topic | Algebraic Topology 55T25 (Primary) 55N20, 55M05 (Secondary) |
| url | https://arxiv.org/abs/2507.09769 |