On the Realizability of Gottlieb Groups
Homotopy Theory of Function Spaces and Related Topics
In this brief note, we examine various issues related to the realizability of Gottlieb groups by manifolds or finite complexes. We prove that any finitely generated abelian group is always realized by G1(M) for some closed manifold M. We also prove some first results about realizing higher Gottlieb groups.
Oprea, John F. and Strom, Jeff, "On the Realizability of Gottlieb Groups" (2010). Mathematics Faculty Publications. 267.
Book Series Title: Contemporary Mathematics
Presented at the Oberwolfach Workshop on Homotopy Theory of Function Spaces and Related Topics, April 5 -11, 2009, Oberwolfach, Germany.