Hostname: page-component-78c5997874-lj6df Total loading time: 0 Render date: 2024-11-14T22:15:19.857Z Has data issue: false hasContentIssue false
  • English
  • Français

On Künneth suspensions

Published online by Cambridge University Press:  24 October 2008

R. Brown
R. Brown
Affiliation:
University of Liverpool
Get access Rights & Permissions [Opens in a new window]

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
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 60 , Issue 4 , October 1964 , pp. 713 - 720
Copyright
Copyright © Cambridge Philosophical Society 1964

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)Barratt, M. G.Track groups I, II. Proc. London Math. Soc. 5 (1955), 71–106, 285–329.CrossRefGoogle Scholar
(2)Brown, R.Cohomology with chains as coefficients. Proc. London Math. Soc. (3), 14 (1964), 545–565.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), 93–101.CrossRefGoogle Scholar
(5)Thom, R. L'homologie des espaces functionnels, from Coll. de Topologie Algébrique Louvain 1956 (Liège, 1957).Google Scholar