Jeanneret, Alain (1995). Homotopy groups and Hmaps. Proceedings of the Edinburgh Mathematical Society, 38(3), pp. 465473. Cambridge University Press 10.1017/S001309150001926X

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The first nonvanishing homotopy group of a finite Hspace 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 Hstructure on Sn, n = 1, 3 or 7 such that α is an Hmap.
Item Type: 
Journal Article (Original Article) 

Division/Institute: 
08 Faculty of Science > Department of Mathematics and Statistics > Institute of Mathematics 
UniBE Contributor: 
Jeanneret, Alain 
Subjects: 
500 Science > 510 Mathematics 
ISSN: 
00130915 
Publisher: 
Cambridge University Press 
Language: 
English 
Submitter: 
Marceline Brodmann 
Date Deposited: 
21 Jul 2020 08:36 
Last Modified: 
25 Jul 2020 19:50 
Publisher DOI: 
10.1017/S001309150001926X 
BORIS DOI: 
10.7892/boris.115477 
URI: 
https://boris.unibe.ch/id/eprint/115477 