%0 Journal Article %T Compactly generated quasitopological homotopy groups with discontinuous multiplication %A Paul Fabel %J Mathematics %D 2011 %I arXiv %X For each positive integer Q there exists a path connected metric compactum X such that the Qth-homotopy group of X is compactly generated but not a topological group (with the quotient topology). %U http://arxiv.org/abs/1105.6363v1