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Transfer maps for fibrations

Published online by Cambridge University Press:  24 October 2008

W. G. Dwyer
W. G. Dwyer
Affiliation:
Department of Mathematics, University of Notre Dame, Notre Dame, IN 46556, USA E-mail: dwyer.1@nd.edu
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Extract

Let f: E → B be a fibration with fibre F over a connected space B. If F is homotopy equivalent to a finite complex, Becker and Gottlieb [2, 3] and others have constructed a transfer map

where for simplicity X+ denotes the suspension spectrum of the space obtained from X adding a disjoint basepoint. One key property of τ(f) is the fact that the composite map f+. τ(f): B+ → B+ induces a map on integral homology which is multiplication the Euler characteristic X(F).

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 120 , Issue 2 , August 1996 , pp. 221 - 235
Copyright
Copyright © Cambridge Philosophical Society 1996

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References

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