The polyhedral product functor: a method of computation for moment-angle complexes, arrangements and related spaces
The polyhedral product functor: a method of computation for moment-angle complexes, arrangements and related spaces
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DOI：
10.1016/j.aim.2010.03.026
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发表时间：
2007-11
期刊：
影响因子：
--
通讯作者：
A. Bahri;M. Bendersky;F. Cohen;S. Gitler
中科院分区：
文献类型：
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作者：
A. Bahri;M. Bendersky;F. Cohen;S. Gitler
本文给出了以多面体积函子形式出现的广义矩角复形或部分积空间悬架的自然分解。本文提出的几何分解为这些空间的稳定同伦型提供了结构，这些空间包括Goresky-MacPherson关于某些子空间排列的补的工作中出现的空间，以及Davis-Januszkiewicz和Buchstaber-Panov关于矩角复合体的工作中出现的空间。由于这里的稳定分解是几何的，它们为任何同调理论的广义矩角复合体提供了相应的同调分解。
This article gives a natural decomposition of the suspension of generalized moment-angle complexes or partial product spaces which arise as polyhedral product functors described below. The geometrical decomposition presented here provides structure for the stable homotopy type of these spaces including spaces appearing in work of Goresky–MacPherson concerning complements of certain subspace arrangements, as well as Davis–Januszkiewicz and Buchstaber–Panov concerning moment-angle complexes. Since the stable decompositions here are geometric, they provide corresponding homological decompositions for generalized moment-angle complexes for any homology theory.