Relative phantom maps and rational homotopy

Abstract

We generalize some results of Gray and McGibbon-Roitberg on relations between phantom maps and rational homotopy to relative phantom maps. Since the ${\lim }^1$ and the profinite completion techniques do not apply to relative phantom maps, we develop new techniques.

14 pages, small corrections, to appear in Proceedings of the American Mathematical Society

References in corpus (1)

• Relative phantom maps