Decompositions of polyhedral products for shifted complexes

作者：Iriye Kouyemon; Kishimoto Daisuke^*

来源：Advances in Mathematics, 2013, 245: 716-736.

DOI：10.1016/j.aim.2013.05.003

• Polyhedral product
• Homotopy decomposition
• Shifted complex
• Subspace arrangement

The conjecture of Bahri, Bendersky, Cohen and Gitler (2010) [3] on wedge decompositions of polyhedral products of shifted complexes is settled affirmatively. As a corollary, it is proved that the homotopy type of the complement of a coordinate subspace arrangement associated with a shifted complex, tensored with R-r for any r %26gt;= 1, has the homotopy type of a wedge of spheres.

• 出版日期2013-10-1