Generalizations of Fox Homotopy Groups, Whitehead Products, and Gottlieb Groups

• Date: 2005
• Main Authors: Golasinski, M., Goncalves, D., Wong, P., Голасинський, М., Гончалвес, Д., Вонг, П.
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2005
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/3600
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

In this paper, we redefine the torus homotopy groups of Fox and give a proof of the split exact sequence of these groups. Evaluation subgroups are defined and are related to the classical Gottlieb subgroups. With our constructions, we recover the Abe groups and prove some results of Gottlieb for t...