Relative phantom maps and rational homotopy

2019/07/30 by Kishimoto, Daisuke, Matsushita, Takahiro
#Algebraic Topology (math.AT) #FOS: Mathematics

paper · doi:10.48550/arxiv.1907.12726

Abstract

We generalize some results of Gray and McGibbon-Roitberg on relations between phantom maps and rational homotopy to relative phantom maps. Since the lim¹ and the profinite completion techniques do not apply to relative phantom maps, we develop new techniques.

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