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
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Keywords: homotopy groups, Gottlieb groups, wedge sums, Hopf invariants, Whitehead products
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2014 Volume 66 Issue 3 Pages 735-743

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Abstract
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.
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© 2014 The Mathematical Society of Japan
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