Jeanneret, Alain (1995). Homotopy groups and H-maps. Proceedings of the Edinburgh Mathematical Society, 38(3), pp. 465-473. Cambridge University Press 10.1017/S001309150001926X
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The first nonvanishing homotopy group of a finite H-space X whose mod 2 homology ring is associative occurs in degrees 1, 3 or 7. Generators of these groups can be represented by maps α:Sn→X for n = 1, 3 or 7. In this note we prove that under some hypothesis on X there exists an H-structure on Sn, n = 1, 3 or 7 such that α is an H-map.
Item Type: |
Journal Article (Original Article) |
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Division/Institute: |
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics |
UniBE Contributor: |
Jeanneret, Alain |
Subjects: |
500 Science > 510 Mathematics |
ISSN: |
0013-0915 |
Publisher: |
Cambridge University Press |
Language: |
English |
Submitter: |
Marceline Brodmann |
Date Deposited: |
21 Jul 2020 08:36 |
Last Modified: |
05 Dec 2022 15:13 |
Publisher DOI: |
10.1017/S001309150001926X |
BORIS DOI: |
10.7892/boris.115477 |
URI: |
https://boris.unibe.ch/id/eprint/115477 |