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Two examples in homotopy theory

Published online by Cambridge University Press:  24 October 2008

R. Brown
R. Brown
Affiliation:
University of Hull
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Extract

The examples are unconnected.

According to some published footnotes, examples are known of Serre fibrations which are not Hurewicz fibrations. However, as far as I know no such example has been published. The following example, which was stimulated by a more complicated example of G. Horrocks, seems worth mentioning, since it is extremely simple and does suggest some further questions.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 62 , Issue 4 , October 1966 , pp. 575 - 576
Copyright
Copyright © Cambridge Philosophical Society 1966

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References

REFERENCES

(1)Brown, R.On Künneth suspensions. Proc. Cambridge Philos. Soc. 60 (1964), 713–720.CrossRefGoogle Scholar
(2)Dold, A.Partitions of unity in the theory of fibre spaces. Ann. of Math. 77 (1963), 223–255.CrossRefGoogle Scholar
(3)Stasheff, J.A classification theorem for fibre spaces. Topology 2 (1963), 239–246.CrossRefGoogle Scholar