Self homotopy groups of Hopf spaces with at most three cells

• MIMURA Mamoru

  Department of Mathematics, Okayama University

• OSHIMA Hideaki

  Department of Mathematical Sciences, Ibaraki University

Abstract

We prove that if X is a connected H-space with at most three cells of positive dimension, then the self homotopy set of X becomes a group relative to the binary operation induced from any multiplication on X, and we determine it's group structure in some cases.

Journal

• Journal of the Mathematical Society of Japan

  Journal of the Mathematical Society of Japan 51 (1), 71-92, 1999

  The Mathematical Society of Japan

Keywords

• Hopf space
• self homotopy set

Details

• CRID: 1390282680092797568
• NII Article ID: 10002151394
• NII Book ID: AA0070177X
• DOI: 10.2969/jmsj/05110071
• ISSN: 18811167
• ISSN: 18812333
• ISSN: 00255645
• MRID: 1661032
• NDL BIB ID: 4643278
• Web Site: https://ndlsearch.ndl.go.jp/books/R000000004-I4643278
• Text Lang: en
• Data Source:
  • JaLC
  • NDL
  • Crossref
  • CiNii Articles
• Abstract License Flag: Disallowed