Cobordism of branched covering spaces

Hugh M. Hilden and Robert D. Little

Vol. 87 (1980), No. 2, 335–345

DOI: 10.2140/pjm.1980.87.335

Abstract

We shall develop a general method of constructing branched covering spaces of spheres and other manifolds. In the case of the sphere, this method gives rise via transversality to an equivalence between certain cobordism classes of branched covering spaces and the homotopy groups of certain topological spaces. We will interpret the cobordism equivalence and compute the homotopy groups in one case.

Mathematical Subject Classification 2000

Primary: 57M12

Milestones

Received: 28 May 1978

Revised: 20 September 1978

Published: 1 April 1980