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On Künneth suspensions

Published online by Cambridge University Press:  24 October 2008

R. Brown
Affiliation:
University of Liverpool

Extract

In (2) we defined the Künneth suspension of a cohomology operation —the Künneth suspension involves an arbitrary css-complex Y rather than the 1-sphere S1, as with the usual suspension of a cohomology operation. Now the suspension homomorphism is well known to be related to the operation of forming loop spaces (cf. (4)). The main object of this paper is to prove a similar result for the Künneth suspension.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1964

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References

REFERENCES

(1)Barratt, M. G.Track groups I, II. Proc. London Math. Soc. 5 (1955), 71106, 285–329.CrossRefGoogle Scholar
(2)Brown, R.Cohomology with chains as coefficients. Proc. London Math. Soc. (3), 14 (1964), 545565.CrossRefGoogle Scholar
(3)Cartan, H. Quelques questions de topologie, from Séminaire Cartan de l'E.N.S. 1956–1957 (Paris, 1957).Google Scholar
(4)Suzuki, H.On the Eilenberg–Maclane invariant of loop spaces. J. Math. Soc. Japan, 8 (1956), 93101.CrossRefGoogle Scholar
(5)Thom, R. L'homologie des espaces functionnels, from Coll. de Topologie Algébrique Louvain 1956 (Liège, 1957).Google Scholar