Realizing transfer maps for ramified coverings

Ralph Cohen

Vol. 122 (1986), No. 2, 347–356

DOI: 10.2140/pjm.1986.122.347

Abstract

In this paper we study transfer maps for a general class of ramified covering spaces. This class includes finite covering spaces, as well as more general orbit maps Y∕H → Y∕G, where H is a subgroup of a finite group G, and where Y is any G-space. This class also includes classical branched coverings of manifolds. The goal of this paper is to identify and to analyze the obstructions to realizing such a homology transfer homomorphism by a stable map between spaces.

Mathematical Subject Classification 2000

Primary: 55P42

Milestones

Received: 16 November 1984

Published: 1 April 1986