Relative phantom maps and rational homotopy
Copyright policy ) Kishimoto, Daisuke; Matsushita, Takahiro;
Relative phantom maps and rational homotopy
We generalize some results of Gray and McGibbon-Roitberg on relations between phantom maps and rational homotopy to relative phantom maps. Since the l i m ⟵ 1 \underset {\longleftarrow }{\mathrm {lim}}^{1} and the profinite completion techniques do not apply to relative phantom maps, we develop new techniques.
- University of the Ryukyus Japan
- Kyoto University Japan
rational homotopy, Homotopy theory, Rational homotopy theory, phantom map, FOS: Mathematics, Algebraic Topology (math.AT), relative phantom map, Mathematics - Algebraic Topology
rational homotopy, Homotopy theory, Rational homotopy theory, phantom map, FOS: Mathematics, Algebraic Topology (math.AT), relative phantom map, Mathematics - Algebraic Topology
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