Open Access
July, 2014 The Gottlieb group of a wedge of suspensions
Martin ARKOWITZ, Ken-ichi MARUYAMA
J. Math. Soc. Japan 66(3): 735-743 (July, 2014). DOI: 10.2969/jmsj/06630735

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.

Citation

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Martin ARKOWITZ. Ken-ichi MARUYAMA. "The Gottlieb group of a wedge of suspensions." J. Math. Soc. Japan 66 (3) 735 - 743, July, 2014. https://doi.org/10.2969/jmsj/06630735

Information

Published: July, 2014
First available in Project Euclid: 24 July 2014

zbMATH: 1314.55009
MathSciNet: MR3238315
Digital Object Identifier: 10.2969/jmsj/06630735

Subjects:
Primary: 55Q20
Secondary: 55Q25

Keywords: Gottlieb groups , Homotopy groups , Hopf invariants , wedge sums , Whitehead products

Rights: Copyright © 2014 Mathematical Society of Japan

Vol.66 • No. 3 • July, 2014
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