Novikov additivity II (Ex)
From Manifold Atlas
This is an exercise in Novikov additivity for normal complexes.
Let be a -dimensional Poincare pair with the fundametal class which maps to the fundamental class under the boundary homomorphism, .
Suppose that we have a -dimensional normal pair whose fundamental class maps to under the boundary map. Form the normal space . Show that
Hint: check the Novikov additivity exercise and the definition of the quadratic boundary of a (normal,Poincare) pair.