Connected sums of manifolds and approximate fibrations
by
Yongkuk Kim
University of Tennessee--Knoxville

Codimension-2 fibrators are n-manifolds which automatically induce approximate fibrations, in the following sense:given any proper mapping p from an (n+2)-manifold onto a 2-manifold such that each point-preimage is a copy of the codimension-2 fibrator, p is necessarily an approximate fibration. Here, we give some answers to the following question:given an n-manifold N which is a nontrivial connected sum, when is N a codimension-2 fibrator?

Date received: February 6, 1998