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Erschienen in:
2012 | OriginalPaper | Buchkapitel
A survey of some recent results concerning polyhedral products
verfasst von : Anthony P. Bahri, Martin Bendersky, Frederick R. Cohen, Samuel Gitler
Erschienen in: Configuration Spaces
Verlag: Scuola Normale Superiore
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The purpose of this article is an exposition of recent results and applications arising from decompositions of suspensions of generalized moment-angle complexes also known as polyhedral products. Special examples of these spaces are complements of arrangements of complex coordinate planes as described in detail below.
The main features of this expository article are (1) a description of these decompositions together with (2) applications to the structure of the cohomology rings of these spaces. Definitions, examples, as well as one proof for a classical decomposition are included in this report.