Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

Ramified coverings, orbit projections and symmetric powers

Albrecht Dolda1

a1 Mathematisches Institut der Universität, D-6900 Heidelberg, West Germany

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 SPX of CW-complexes X he obtained transfer homomorphisms S0305004100063933_inline1.

(Received May 07 1985)