与旗状复合物相关的矩角复合物的环空间分解

IF 0.6 4区 数学 Q3 MATHEMATICS Quarterly Journal of Mathematics Pub Date : 2024-04-30 DOI:10.1093/qmath/haae020
Lewis Stanton
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引用次数: 0

摘要

我们证明了与旗状复数的 k 骨架相关的矩角复数的环空间属于 $\mathcal{P}$ 这类同调等价于简单相连球面上球面与环的有限类型乘积的空间。为此,我们证明了一个显示 $\mathcal{P}$ 在收回条件下是封闭的一般结果。
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Loop Space Decompositions of Moment-Angle Complexes Associated to Flag Complexes
We prove that the loop space of the moment-angle complex associated with the k-skeleton of a flag complex belongs to the class $\mathcal{P}$ of spaces homotopy equivalent to a finite-type product of spheres and loops on simply connected spheres. To do this, a general result showing $\mathcal{P}$ is closed under retracts is proved.
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来源期刊
CiteScore
1.30
自引率
0.00%
发文量
36
审稿时长
6-12 weeks
期刊介绍: The Quarterly Journal of Mathematics publishes original contributions to pure mathematics. All major areas of pure mathematics are represented on the editorial board.
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