Vol. 61, No. 1, 1975

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Glättungen von Abbildungen 3-dimensionaler Mannigfaltigkeiten

Harald Boehme

Vol. 61 (1975), No. 1, 45–51

Let N and M be compact 3-dimensional manifolds, f : N M a map. Furthermore let given a Heegaard splitting for M, which certainly exists if M is closed, and then it is a pair (V,W), where V , W are handlebodies (possibly non orientable) with M = V W, V W = ∂V = ∂W. It will be shown, that f can be deformed into a normal form with respect to the Heegaard splitting of M: either f has the absolute degree 0, or f is homotopic to a map g with the property that gg1(V ) is a covering map.

Mathematical Subject Classification
Primary: 57A15, 57A15
Received: 25 July 1974
Published: 1 November 1975
Harald Boehme