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Fibrewise category

Published online by Cambridge University Press:  14 November 2011

I. M. James  and
J. R. Morris
I. M. James
Affiliation:
Mathematical Institute, 24–29 St. Giles, Oxford OX1 3LB, U.K
J. R. Morris
Affiliation:
Mathematical Institute, 24–29 St. Giles, Oxford OX1 3LB, U.K
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Synopsis

The purpose of this paper is to introduce a fibrewise generalisation of category, in the sense of Lusternik–Schnirelmann. This reduces to the classical concept when the space is a point. Fibrewise category may be compared with equivariant category, which has been the subject of some recent research [1,7,8]. Many variations on the basic idea of category have been discussed in the literature, for example the concept of category of a map, but since the generalisations to the fibrewise case are fairly routine they are not considered here.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 119 , Issue 1-2 , 1991 , pp. 177 - 190
Copyright
Copyright © Royal Society of Edinburgh 1991

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References

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