The Gottlieb group of a wedge of suspensions

Martin Arkowitz; Ken-ichi Maruyama

doi:10.2969/jmsj/06630735

Journal of the Mathematical Society of Japan

Online ISSN : 1881-1167
Print ISSN : 0025-5645
ISSN-L : 0025-5645

The Gottlieb group of a wedge of suspensions

Martin Arkowitz, Ken-ichi Maruyama

著者情報

キーワード: homotopy groups, Gottlieb groups, wedge sums, Hopf invariants, Whitehead products

ジャーナルフリー

2014 年 66 巻 3 号 p. 735-743

DOI https://doi.org/10.2969/jmsj/06630735

詳細

抄録

We study the Gottlieb group of a wedge sum of suspension spaces. We give necessary and sufficient conditions, in terms of Hopf invariants, for an element of a homotopy group to be in the Gottlieb group. We apply our results to wedge sums of spheres and to Moore spaces.