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摘要翻译：
本文给出了广义矩角复形或{部分积空间}的悬置的自然分解，它是由下面描述的{多面体积函子}产生的。在某些子空间安排的补的特殊情况下，几何分解包含Goresky-MacPherson引用{Goresky.Macpherson}、hochster\引用{hochster}、Baskakov引用{Baskakov}、Panov\引用{Panov}和Buchstaber-Panov\引用{Buchstaber.Panov}中的同调分解。由于分裂是几何的，广义矩角复形的类似同调分解适用于任何同调理论。该分解给出了有限单纯复形的Stanley-Reisner环的加性分解，推广了Porter引用{Porter}和Ganea引用{Ganea}的某些同伦理论结果。这里的工作精神遵循\cite{denham.suciu}中的Denham-Suciu的精神。
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英文标题：
《The polyhedral product functor: a method of computation for moment-angle
complexes, arrangements and related spaces》
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作者：
A. Bahri, M. Bendersky, F. R. Cohen and S. Gitler
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最新提交年份：
2008
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分类信息：
一级分类：Mathematics 数学
二级分类：Algebraic Topology 代数拓扑
分类描述：Homotopy theory, homological algebra, algebraic treatments of manifolds
同伦理论，同调代数，流形的代数处理
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一级分类：Mathematics 数学
二级分类：Commutative Algebra 交换代数
分类描述：Commutative rings, modules, ideals, homological algebra, computational aspects, invariant theory, connections to algebraic geometry and combinatorics
交换环，模，理想，同调代数，计算方面，不变理论，与代数几何和组合学的联系
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一级分类：Mathematics 数学
二级分类：Algebraic Geometry 代数几何
分类描述：Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology
代数簇，叠，束，格式，模空间，复几何，量子上同调
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英文摘要：
This article gives a natural decomposition of the suspension of generalized moment-angle complexes or {\it partial product spaces} which arise as {\it polyhedral product functors} described below. In the special case of the complements of certain subspace arrangements, the geometrical decomposition implies the homological decomposition in Goresky-MacPherson \cite{goresky.macpherson}, Hochster\cite{hochster}, Baskakov \cite{baskakov}, Panov \cite{panov}, and Buchstaber-Panov \cite{buchstaber.panov}. Since the splitting is geometric, an analogous homological decomposition for a generalized moment-angle complex applies for any homology theory. This decomposition gives an additive decomposition for the Stanley-Reisner ring of a finite simplicial complex and generalizations of certain homotopy theoretic results of Porter \cite{porter} and Ganea \cite{ganea}. The spirit of the work here follows that of Denham-Suciu in \cite{denham.suciu}.
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PDF链接：
https://arxiv.org/pdf/0711.4689
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