The Gottlieb group of a wedge of suspensions

• Arkowitz Martin

  Department of Mathematics, Dartmouth College

• Maruyama Ken-ichi

  Faculty of Education, Chiba University

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.

収録刊行物

• Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ

  Ｊｏｕｒｎａｌ　ｏｆ　ｔｈｅ　Ｍａｔｈｅｍａｔｉｃａｌ　Ｓｏｃｉｅｔｙ　ｏｆ　Ｊａｐａｎ 66 (3), 735-743, 2014

  一般社団法人 日本数学会

キーワード

• homotopy groups
• Gottlieb groups
• wedge sums
• Hopf invariants
• Whitehead products

詳細情報

• CRID: 1390282680091904640
• NII論文ID: 130004927743
• NII書誌ID: AA0070177X
• DOI: 10.2969/jmsj/06630735
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• NDL書誌ID: 025599046
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I025599046
• 本文言語コード: en
• データソース種別:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• 抄録ライセンスフラグ: 使用不可