同构阿伊塔赫-赫尔茨伯格光谱序列中的高度可整除循环

Vasilii Rozhdestvenskii

同构阿伊塔赫-赫尔茨伯格光谱序列中的高度可整除循环

代数拓扑 2025-09-03 v2

作者: Vasilii Rozhdestvenskii

摘要

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 $E^2_{n,0}(X)/Z^{r}_{n,0}(X)$ .

关键词

同调理论阿伊塔赫-赫尔茨伯格光谱序列 CW 复形最大阶有限类型

引用

@article{arxiv.2507.09769,
  title  = {Highly divisible cycles in homological Atiyah-Hirzebruch spectral sequences},
  author = {Vasilii Rozhdestvenskii},
  journal= {arXiv preprint arXiv:2507.09769},
  year   = {2025}
}

备注

6 pages, comments are very welcome; v.2 misprints are corrected, bugs with LaTex compilation are fixed

同构阿伊塔赫-赫尔茨伯格光谱序列中的高度可整除循环

摘要

关键词

引用

备注

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