Timeline for To which extent can one recover a manifold from its group of homeomorphisms
Current License: CC BY-SA 3.0
5 events
| when toggle format | what | by | license | comment | |
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| Mar 29, 2012 at 1:43 | history | edited | Igor Rivin | CC BY-SA 3.0 |
added another reference.
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| Mar 28, 2012 at 7:13 | comment | added | Martin Brandenburg | This result was generalized to the $C^r$-setting by Filipkiewicz in Isomorphisms between diffeomorphism groups. The article by Tomasz Rybicki mentioned by Igor, which can be found here ams.org/journals/proc/1995-123-01/S0002-9939-1995-1233982-7/… tries to enhance these results. | |
| Mar 28, 2012 at 7:07 | comment | added | Martin Brandenburg | The paper by Whittacker can be found here webpages.ursinus.edu/nscoville/Whittaker%201963.pdf. It has the more general result that every isomorphism of abstract groups $\mathrm{Aut}(X) \cong \mathrm{Aut}(Y)$ is the conjugation of some homeomorphism $X \cong Y$, when $X,Y$ are compact manifolds. | |
| Mar 28, 2012 at 1:57 | vote | accept | Misha | ||
| Mar 28, 2012 at 0:30 | history | answered | Igor Rivin | CC BY-SA 3.0 |