English

Relative phantom maps and rational homotopy

Algebraic Topology 2020-10-30 v2

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\lim^1 and the profinite completion techniques do not apply to relative phantom maps, we develop new techniques.

Keywords

Cite

@article{arxiv.1907.12726,
  title  = {Relative phantom maps and rational homotopy},
  author = {Daisuke Kishimoto and Takahiro Matsushita},
  journal= {arXiv preprint arXiv:1907.12726},
  year   = {2020}
}

Comments

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

R2 v1 2026-06-23T10:34:24.693Z