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On fibre spaces and nilpotency

Published online by Cambridge University Press:  24 October 2008

I. M. James
I. M. James
Affiliation:
Mathematical Institute, University of Oxford
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Extract

Recall that a categorical covering of a space B is a covering by closed sets each of which is contractible in B. Suppose that B admits a finite categorical covering, and hence one where the number of sets is minimal. The category of B is then defined to be one less than that minimum number. Category is generally associated with nilpotency, in homotopy theory. In this note we describe a further illustration of this, from the theory of fibre spaces.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 84 , Issue 1 , July 1978 , pp. 57 - 60
Copyright
Copyright © Cambridge Philosophical Society 1978

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References

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