Hostname: page-component-6bf8c574d5-vmclg Total loading time: 0 Render date: 2025-02-23T11:01:14.395Z Has data issue: false hasContentIssue false
  • English
  • Français

An example for homotopy commutativity of h-spaces

Published online by Cambridge University Press:  09 April 2009

F. D. Williams
F. D. Williams
Affiliation:
New Mexico State UniversityLas Cruces New Mexico 88003, U.S.A.
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this note we give an example of a homotopy commutative H-space X that is not dominated by any homotopy associative, homotopy commutative H-space. In particular, X is not dominated by Ω2S2X.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 19 , Issue 3 , May 1975 , pp. 309 - 311
Copyright
Copyright © Australian Mathematical Society 1975

References

Adams, J. F. (1961), ‘The sphere, considered an as H-space mod p’, Quart. J. Math., Oxford (2) 12, 52–60.Google Scholar
Husseini, S. Y., (1963) ‘Constructions of the reduced product type’, Topology 2, 313–237.CrossRefGoogle Scholar
James, I. M. (1969), ‘Products on spheres’ Mathematika 6, 1–13.CrossRefGoogle Scholar
James, I. M. (1955), ‘Reduced product spaces’, Ann. of Math. 62, 170–197.CrossRefGoogle Scholar
Stasheff, J. D. (1963), ‘Homotopy associativity of H-spaces I’, Trans. Amer. Soc. 108, 275–292.Google Scholar
Stasheff, J. D. (1970), H-spaces from a homotopy point of view, Lecture Notes in Mathematics, No. 161 (Springer Verlag, 1970).CrossRefGoogle Scholar
Stasheff, J. D. (1961), ‘On homotopy Abelian H-spaces’, Proc. Cambridge Philos. Soc. 57, 734–747.CrossRefGoogle Scholar
Williams, F. D. (1971), ‘A theorem on homotopy commutativity’, Michigan Math. J. 18, 51–53.CrossRefGoogle Scholar