Triviality of simple fiber-preserving actions of tori on Hilbert-cube-fiber bundles
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- by Vo Thanh Liem PDF
- Proc. Amer. Math. Soc. 87 (1983), 549-554 Request permission
Abstract:
Let $\sigma$ denote the standard based-free action of a torus $T$ on the Hilbert cube $Q$. It will be shown that every simple fiber-preserving action of $T$ on $Q \times B$, where $B$ is a finite-dimensional, compact metric absolute retract, is fiber-preserving equivalent to the diagonal action $\sigma \times {\text {i}}{{\text {d}}_B}$.References
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Additional Information
- © Copyright 1983 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 87 (1983), 549-554
- MSC: Primary 57N20; Secondary 57S99
- DOI: https://doi.org/10.1090/S0002-9939-1983-0684656-4
- MathSciNet review: 684656