Timeline for A curious switch in infinite dimensions
Current License: CC BY-SA 4.0
8 events
| when toggle format | what | by | license | comment | |
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| Dec 26, 2023 at 21:23 | comment | added | Pietro Majer | The contractibility of GL(H), looking closely to the construction, is due to the fact that in an infinite dimensional Hilbert space there is "enough room" to perform the maneuver, just like in the Hilbert Hotel there are enough rooms to host a new guest | |
| Sep 17, 2019 at 16:44 | comment | added | Ben Wieland | My vague memory is that this information is better organized in terms of Grassmannians than groups, but I don't have anything specific to say. | |
| Aug 17, 2019 at 20:16 | comment | added | mme | I guess I would say: $\Phi(V)$ is completely unconstrained when $V$ is finite-dimensional, while it is constrained by finite-dimensionality once you reach infinite dimensions, and the interesting topology accounts for how kernel and cokernel move around inside an infinite-dimensional space. On the other hand, when $V$ is infinite-dimensional the space $GL(V)$ is unconstrained because of the existence of a swindle. | |
| Aug 16, 2019 at 15:01 | history | edited | Thomas Rot | CC BY-SA 4.0 |
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| Aug 16, 2019 at 14:50 | history | edited | Thomas Rot | CC BY-SA 4.0 |
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| Aug 16, 2019 at 14:48 | history | undeleted | Thomas Rot | ||
| Aug 16, 2019 at 13:00 | history | deleted | Thomas Rot | via Vote | |
| Aug 16, 2019 at 9:29 | history | asked | Thomas Rot | CC BY-SA 4.0 |