Diffeomorphisms of 3-manifolds which are homotopy equivalent to 𝑆¹

Husch, L. S.

doi:10.1090/S0002-9939-1977-0448354-1

Diffeomorphisms of $3$-manifolds which are homotopy equivalent to $S^{1}$
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Proc. Amer. Math. Soc. 63 (1977), 327-333 Request permission

Abstract:

Let h be a diffeomorphism of a 3-manifold M which is homotopy equivalent to the 1-sphere. Suppose that the collection of positive iterates of h has compact closure in the space of smooth mappings of M into itself and suppose that this closed set generated by h is not a group. Necessary and sufficient conditions are given that another diffeomorphism g be topologically equivalent to h.

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