English

Phantom maps and rational homotopy

Algebraic Topology 2021-06-01 v1

Abstract

We generalize theorems of McGibbon-Roitberg, Iriye, and Meier on the relations between phantom maps and rational homotopy, and apply them to provide new calculational examples of the homotopy sets Ph(X, Y ) of phantom maps and the subsets SPh(X, Y ) of special phantom maps.

Keywords

Cite

@article{arxiv.2105.14446,
  title  = {Phantom maps and rational homotopy},
  author = {Hiroshi Kihara},
  journal= {arXiv preprint arXiv:2105.14446},
  year   = {2021}
}
R2 v1 2026-06-24T02:37:37.435Z