On phantom maps into co-H–spaces

Schwass, James¹

¹Grand Rapids, MI 49503, United States

Algebraic and Geometric Topology, Tome 17 (2017) no. 2, pp. 847-867

Résumé

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 ; ℚ)≠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.

Détail

DOI : 10.2140/agt.2017.17.847

Classification : 55P45, 55S37
Keywords: phantom maps, co-H–spaces

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