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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。
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.
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.