Statically tame periodic homeomorphisms of compact connected $3$-manifolds. I. Homeomorphisms conjugate to rotations of the $3$-sphere
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- by Edwin E. Moise PDF
- Trans. Amer. Math. Soc. 252 (1979), 1-47 Request permission
Abstract:
Let f be a homeomorphism of the 3-sphere onto itself, of finite period n, and preserving orientation. Suppose that the fixed-point set F of f is a tame 1-sphere. It is shown that (1) the 3-sphere has a triangulation $K({{\textbf {S}}^3})$ such that F forms a subcomplex of $K({{\textbf {S}}^3})$ and f is simplicial relative to $K({{\textbf {S}}^3})$. Suppose also that F is unknotted. It then follows that (2) f is conjugate to a rotation.References
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Additional Information
- © Copyright 1979 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 252 (1979), 1-47
- MSC: Primary 57S17; Secondary 57Q15
- DOI: https://doi.org/10.1090/S0002-9947-1979-0534109-2
- MathSciNet review: 534109