Hostname: page-component-cd9895bd7-gbm5v Total loading time: 0 Render date: 2024-12-28T14:41:19.292Z Has data issue: false hasContentIssue false

Products in homotopy groups with certain prime coefficients

Published online by Cambridge University Press:  24 October 2008

Paul Green
Affiliation:
University of Maryland

Extract

Let p be a prime and n ≥ 3. Then there is a simply connected CW-complex, , unique up to homotopy type, such that

Let X be a CW-complex. Write , the group of pointed homotopy classes of pointed maps from to X. The group structure derives from the fact that, under the restriction on n, is a suspension.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1968

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)Arkowitz, M.The generalized Whitehead product. Pacific J. Math. 12 (1962).CrossRefGoogle Scholar
(2)Chang, S. C.Homotopy invariants of mappings. Proc. Roy. Soc. London Ser. A 202 (1950).Google Scholar
(3)Hilton, P. J.Homotopy theory and duality. Gordon and Breach (New York, 1966).Google Scholar
(4)Katuta, Y.Homotopy groups with coefficients. Sci. Rep. Tokyo Kyoiku Daigaku Sect. A 7 (1960), 1524.Google Scholar
(5)Whitehead, G. W.On mappings into group-like spaces. Comment Math. Helv. 28 (1954), 320328.CrossRefGoogle Scholar
(6)Yamamoto, N.Algebra of stable homotopy of Moore space. Osaka J. Math. 14 (1963), 4567.Google Scholar