The Gottlieb group of a wedge of suspensions

Martin Arkowitz; Ken-ichi Maruyama

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The Gottlieb group of a wedge of suspensions

机译：悬吊楔块的Gottlieb组

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摘要

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.

机译：我们研究了悬浮空间的楔形和的Gottlieb群。我们就Hopf不变性给出了一个必要和充分的条件，以使同伦基团的一个元素属于Gottlieb组。我们将结果应用到球体的楔形和以及摩尔空间。

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来源
《Journal of the Mathematical Society of Japan》 |2014年第3期|735-743|共9页
作者
Martin Arkowitz; Ken-ichi Maruyama;
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作者单位

Department of Mathematics Dartmouth College Hanover NH 03755-3551, USA;

Faculty of Education Chiba University Chiba 263-8522, Japan;

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收录信息美国《科学引文索引》(SCI);
原文格式 PDF
正文语种 eng
中图分类
关键词
homotopy groups; Gottlieb groups; wedge sums; Hopf invariants; Whitehead products;

机译：同型群戈特利布团体;楔形总和;Hopf不变量;白头产品;

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The Gottlieb group of a wedge of suspensions

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