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The topological period-index problem over 8-complexes, II
Proceedings of the American Mathematical Society ( IF 0.8 ) Pub Date : 2020-07-20 , DOI: 10.1090/proc/15112
Xing Gu

Abstract:We complete the study of the topological period-index problem over $ 8$-dimensional connected finite CW complexes started in a preceding paper. More precisely, we determine the sharp upper bound of the index of a topological Brauer class $ \alpha \in H^3(X;\mathbb{Z})$, where $ X$ is of the homotopy type of an $ 8$-dimensional finite CW complex and the period of $ \alpha $ is divisible by $ 4$.


中文翻译:

8络合物上的拓扑周期指数问题,II

摘要:我们完成了$ 8 $从上一篇文章开始的关于多维连通有限CW络合物的拓扑周期指数问题的研究。更确切地说,我们确定拓扑Brauer类的索引的尖锐上限,其中是一维有限CW复数的同伦类型,并且的周期可被整除。 $ \ alpha \ in H ^ 3(X; \ mathbb {Z})$$ X $$ 8 $$ \ alpha $$ 4 $
更新日期:2020-08-20
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