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2016 Decompositions of suspensions of spaces involving polyhedral products
Kouyemon Iriye, Daisuke Kishimoto
Algebr. Geom. Topol. 16(2): 825-841 (2016). DOI: 10.2140/agt.2016.16.825

Abstract

Two homotopy decompositions of suspensions of spaces involving polyhedral products are given. The first decomposition is motivated by the decomposition of suspensions of polyhedral products by Bahri, Bendersky, Cohen and Gitler, and is a generalization of a retractile argument of James. The second decomposition is on the union of an arrangement of subspaces called diagonal subspaces, and generalizes a result of Labassi.

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Kouyemon Iriye. Daisuke Kishimoto. "Decompositions of suspensions of spaces involving polyhedral products." Algebr. Geom. Topol. 16 (2) 825 - 841, 2016. https://doi.org/10.2140/agt.2016.16.825

Information

Received: 15 December 2014; Revised: 29 June 2015; Accepted: 24 July 2015; Published: 2016
First available in Project Euclid: 16 November 2017

zbMATH: 1341.55002
MathSciNet: MR3493409
Digital Object Identifier: 10.2140/agt.2016.16.825

Subjects:
Primary: 55P15
Secondary: 52C35, 55U10

Rights: Copyright © 2016 Mathematical Sciences Publishers

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