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2017 On phantom maps into co-H–spaces
James Schwass
Algebr. Geom. Topol. 17(2): 847-867 (2017). DOI: 10.2140/agt.2017.17.847

Abstract

We study the existence of essential phantom maps into co-H–spaces, motivated by Iriye’s observation that every suspension space Y of finite type with Hi(Y ; )0 for some i > 1 is the target of essential phantom maps. We show that Iriye’s observation can be extended to the collection of nilpotent, finite-type co-H–spaces. This work hinges on an enhanced understanding of the connections between homotopy decompositions of looped co-H–spaces and coalgebra decompositions of tensor algebras due to Grbic̀, Theriault and Wu.

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James Schwass. "On phantom maps into co-H–spaces." Algebr. Geom. Topol. 17 (2) 847 - 867, 2017. https://doi.org/10.2140/agt.2017.17.847

Information

Received: 17 August 2015; Revised: 9 March 2016; Accepted: 9 July 2016; Published: 2017
First available in Project Euclid: 19 October 2017

zbMATH: 1364.55011
MathSciNet: MR3623674
Digital Object Identifier: 10.2140/agt.2017.17.847

Subjects:
Primary: 55P45, 55S37

Rights: Copyright © 2017 Mathematical Sciences Publishers

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Vol.17 • No. 2 • 2017
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