Timeline for Bounded metric spaces with non-surjective self-isometry
Current License: CC BY-SA 3.0
6 events
| when toggle format | what | by | license | comment | |
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| Jul 29, 2015 at 7:53 | vote | accept | Dominic van der Zypen | ||
| Jul 29, 2015 at 7:53 | comment | added | Dominic van der Zypen | Can you post this as an answer? | |
| Jul 29, 2015 at 7:44 | comment | added | YCor | Let $t$ be an irrational. Define $X_t=\{e^{int}:n\ge 0\}$; this is a subset of the unit circle. Then the rotation $z\mapsto e^{it}z$ maps $X_t$ into a proper subset of itself; with the Euclidean distance this is a self-isometry of $X_t$. Unlike the Hilbert shift example, it's not a complete metric space. | |
| Jul 29, 2015 at 7:40 | history | edited | Dominic van der Zypen | CC BY-SA 3.0 |
auto --> self (see YCor's comment)
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| Jul 29, 2015 at 7:01 | answer | added | shift | timeline score: 2 | |
| Jul 29, 2015 at 6:56 | history | asked | Dominic van der Zypen | CC BY-SA 3.0 |