L. Smith, in a recent paper , 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  on infinite symmetric powers SP∞X of CW-complexes X he obtained transfer homomorphisms .
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