a1 Mathematisches Institut der Universität, Bunsenstraβe, 3/5, 3400 Göttingen, Bundesrepublik Deutschland
In this note we introduce a general class of finite ramified coverings π X˜ ↓ X. Examples of ramified covers in our sense include: finite covering spaces, branched covering spaces and the orbit map Y ↓ Y/G where G is a finite group and Y an arbitrary G-space. For any d-fold ramified covering π: X˜ ↓ X we construct a transfer homomorphism
with the expected property that
is multiplication by d. As a consequence we obtain a simple proof of the Conner conjecture; viz. the orbit space of an arbitrary finite group action on a -acyclic space is again acyclic.
(Received August 20 1982)
(Revised September 07 1982)