Poincare duality embeddings and fiberwise homotopy theory.
by John R. Klein
Wayne State University
klein@math.wsu.edu
This paper establishes an embedding theorem for finite complexes
mapping to Poincare spaces. The theorem is the Poincare version of
the `embedded thickening theorem' of C.T.C Wall. The theorem says
that a (2k - n + 2)-connected map f: K^k --> X^n (from a finite
complex of dimension k to an n-dimensional Poincare space) is the
underlying map of a Poincare embedding, provided also that k < n - 2.
This paper will appear in Topology.