Nonsmoothable, unstable group actions
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- by Dennis Pixton PDF
- Trans. Amer. Math. Soc. 229 (1977), 259-268 Request permission
Abstract:
For $k > 1$ there is a nonempty open set of ${C^1}$ actions of ${{\mathbf {Z}}^k}$ on ${S^1}$, no element of which is either topologically conjugate to a ${C^2}$ action or structurally stable. The ${C^1}$ closure of this set contains all ${C^2}$ actions which have compact orbits, so no such action is structurally stable in the space of ${C^1}$ actions.References
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Additional Information
- © Copyright 1977 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 229 (1977), 259-268
- MSC: Primary 58F10; Secondary 57E99
- DOI: https://doi.org/10.1090/S0002-9947-1977-0438397-0
- MathSciNet review: 0438397