Algebraic & Geometric Topology
- Algebr. Geom. Topol.
- Volume 17, Number 2 (2017), 847-867.
On phantom maps into co-H–spaces
We study the existence of essential phantom maps into co-H–spaces, motivated by Iriye’s observation that every suspension space of finite type with for some 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.
Algebr. Geom. Topol., Volume 17, Number 2 (2017), 847-867.
Received: 17 August 2015
Revised: 9 March 2016
Accepted: 9 July 2016
First available in Project Euclid: 19 October 2017
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Schwass, James. On phantom maps into co-H–spaces. Algebr. Geom. Topol. 17 (2017), no. 2, 847--867. doi:10.2140/agt.2017.17.847. https://projecteuclid.org/euclid.agt/1508431446