An Example for Homotopy Groups with Coefficients

  • MARTIN ARKOWITZ
  • Published 2010
In this note we present two spaces X and 7 all of whose homotopy groups are isomorphic, but whose homotopy groups with coefficients are not isomorphic for a certain coefficient group.1 This example depends on the fact that the universal coefficient sequence [2], which relates the ordinary homotopy groups to those with coefficients, does not split. The… (More)