Relative phantom maps and rational homotopy

Daisuke Kishimoto, Takahiro Matsushita

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)4029
Number of pages1
JournalProceedings of the American Mathematical Society
Issue number9
Publication statusPublished - 2021
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • Applied Mathematics


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