On the Realizability of Gottlieb Groups

Authors

John F. Oprea, Cleveland State UniversityFollow
Jeff Strom, Western Michigan University

Document Type

Conference Proceeding

Publication Date

2010

Publication Title

Homotopy Theory of Function Spaces and Related Topics

Abstract

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.

Comments

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.

Repository Citation

Oprea, John F. and Strom, Jeff, "On the Realizability of Gottlieb Groups" (2010). Mathematics and Statistics Faculty Publications. 267.
https://engagedscholarship.csuohio.edu/scimath_facpub/267

Volume

519