Abstract
We prove that an R-action on a compact metric space embeds equivariantly in the space of one-Lipschitz functions R→ [0 , 1] if its fixed point set can be topologically embedded in the unit interval. This is a refinement of the classical Bebutov–Kakutani theorem (1968).
Original language | English |
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Pages (from-to) | 81-91 |
Number of pages | 11 |
Journal | Journal of Dynamics and Differential Equations |
Volume | 31 |
Issue number | 1 |
DOIs | |
Publication status | Published - Mar 15 2019 |
Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Analysis