Timeline for Gromov-Hausdorff convergence for non-compact metric spaces
Current License: CC BY-SA 3.0
11 events
| when toggle format | what | by | license | comment | |
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| Oct 14, 2014 at 9:04 | answer | added | Wolfgang Spindeler | timeline score: 4 | |
| Oct 14, 2014 at 8:09 | history | edited | dg.jan | CC BY-SA 3.0 |
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| S Oct 14, 2014 at 7:57 | history | suggested | Wolfgang Spindeler |
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| Oct 14, 2014 at 7:32 | review | Suggested edits | |||
| S Oct 14, 2014 at 7:57 | |||||
| Oct 14, 2014 at 7:16 | comment | added | Wolfgang Spindeler | Here is a non-connected counterexample: Consider the example given in the second answer to this question: mathoverflow.net/questions/182719/…. Then let $X_i = X$ be the space defined there with $p_i = x$ and $p = y$. It is compact, but can easily be turned into a noncompact one by adding an infinite ray starting at $c$. | |
| Oct 13, 2014 at 20:21 | comment | added | YCor | Anyway the same "joke" can hold in a connected space (e.g. use the union of the line $Im(z)=1$ and the segments $[n,n+i]$ for $n\in\mathbf{Z}$ in the complex plane, instead of $\mathbf{Z}$). | |
| Oct 13, 2014 at 13:17 | comment | added | dg.jan | I added the hypothesis of connectedness of the metric spaces. | |
| Oct 13, 2014 at 13:16 | history | edited | dg.jan | CC BY-SA 3.0 |
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| Oct 9, 2014 at 13:43 | comment | added | YCor | Note that there are a few jokes: e.g. although $((1+1/n)\mathbf{Z},0)\to (\mathbf{Z},0)$, the closed 1-balls does not converge. | |
| Oct 9, 2014 at 10:56 | review | First posts | |||
| Oct 9, 2014 at 10:56 | |||||
| Oct 9, 2014 at 10:49 | history | asked | dg.jan | CC BY-SA 3.0 |