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Abstract
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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.
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Keywords
phantom maps, co-H–spaces
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Mathematical Subject Classification 2010
Primary: 55P45, 55S37
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Publication
Received: 17 August 2015
Revised: 9 March 2016
Accepted: 9 July 2016
Published: 14 March 2017
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