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Ramified coverings, orbit projections and symmetric powers

Published online by Cambridge University Press:  24 October 2008

Albrecht Dold
Albrecht Dold
Affiliation:
Mathematisches Institut der Universität, D-6900 Heidelberg, West Germany
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Extract

L. Smith, in a recent paper [11], studied a class of maps X →Y which he called ramified coverings. Roughly speaking, these are maps with a multiple-valued inverse Y → SPdX; cf. 1·1. He showed that X → X/G is a ramified covering whenever a finite group G acts on X. Using results of [4] on infinite symmetric powers SP∞X of CW-complexes X he obtained transfer homomorphisms .

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 99 , Issue 1 , January 1986 , pp. 65 - 72
Copyright
Copyright © Cambridge Philosophical Society 1986

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References

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