Subject: refined question
Date: Mon, 29 Apr 2002 17:50:37 -0400
From: jim stasheff <stasheff@email.unc.edu>
To: dondavis <dmd1@lehigh.edu>

Apologies for leaving out hyptheses
let me try again

Suppose Y is a non-orientable closed n-manifold and X is its orientation
cover.
Is the relation I stated correct?

b_k(X) = b_k(Y) + b_{n-k}(Y)

 known? reference in a book? or at least an article??
thanks
jim