Maps of degree 1 from any n-dimensional compact manifold to S^n
From: s (quee0849_at_yahoo.co.uk)
Date: 01/22/05
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Date: Fri, 21 Jan 2005 16:42:07 -0800
I'm trying to prove that :
Given a compact manifold of dimension n, there exists a map f:M-> S^n of
degree 1.
I'm told that you can prove this using local degree. However, I dont see
how I can even construct a smooth map (which must be surjective o/w
degree=0) from M to S^n.
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