Timeline for The Lebesgue covering dimension of the Cosmic String interval topology
Current License: CC BY-SA 4.0
23 events
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| S Apr 15 at 12:02 | history | bounty ended | CommunityBot | ||
| S Apr 15 at 12:02 | history | notice removed | CommunityBot | ||
| Apr 9 at 8:00 | comment | added | Bastam Tajik | My personal thumbnail calculation tells me the covering dimension turns out equal to two in the right neighbourhood. Dimensional reduction. @MitchellPorter | |
| Apr 8 at 8:32 | comment | added | Bastam Tajik | But I can reassure you that the topology is not locally Euclidean and not Hausdorff. @MitchellPorter | |
| Apr 8 at 6:25 | comment | added | Bastam Tajik | No! @MitchellPorter | |
| Apr 7 at 22:42 | comment | added | Mitchell Porter | "In case is it a fractal" Do you have any examples of an interval topology that is a fractal? | |
| S Apr 7 at 10:42 | history | bounty started | Bastam Tajik | ||
| S Apr 7 at 10:42 | history | notice added | Bastam Tajik | Draw attention | |
| Apr 6 at 12:18 | history | edited | Bastam Tajik | CC BY-SA 4.0 |
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| Apr 2 at 22:40 | comment | added | Bastam Tajik | @LTurner The Lorentzian metric induced topology(Alexandrov's topology(misnomer), or better called interval topology) is strictly coarser than the manifold topology, if and only if the spacetime is not strongly causal. | |
| Apr 2 at 20:50 | comment | added | Miss Understands | 1) What's the difference between the induced interval topology and the original manifold topology? 2) How do their basis vectors differ? 3) Is that a stupid question to ask as a question? I asked it before, but nobody answered and I lost a lot of downvote points. | |
| Apr 2 at 20:16 | history | edited | Bastam Tajik | CC BY-SA 4.0 |
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| Apr 2 at 15:58 | comment | added | Bastam Tajik | Maybe you can ask this totally negligible sort of question prior to ruining the reputation of a question, where decreases the chance of question to be seen by the relevant expert! Nonetheless the answer is: You can answer anyone you feel can answer! @hft | |
| Apr 2 at 15:49 | comment | added | hft | "What is the Lebesgue covering dimension of the interval topology induced by the Lorentzian metric g? Does this dimension change in the vicinity of the z axis? In case is it a fractal, what are the necessary and sufficient conditions for it to be so? Is it finite? What is the upper bound on its dimension? ...PS: ...It is possible to prove that..." You should pick one question and ask it clearly. | |
| Apr 2 at 14:43 | history | edited | Bastam Tajik | CC BY-SA 4.0 |
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| Apr 2 at 14:10 | comment | added | Bastam Tajik | @A.V.S thanks. I corrected it. | |
| Apr 2 at 14:10 | history | edited | Bastam Tajik | CC BY-SA 4.0 |
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| Apr 2 at 12:23 | comment | added | Bastam Tajik | @A.V.S. physics.stackexchange.com/a/808075/181792 | |
| Apr 2 at 12:09 | history | edited | Bastam Tajik | CC BY-SA 4.0 |
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| Apr 2 at 10:33 | history | edited | Bastam Tajik | CC BY-SA 4.0 |
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| Apr 2 at 0:59 | history | edited | Qmechanic♦ | CC BY-SA 4.0 |
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| Apr 1 at 21:32 | comment | added | Bastam Tajik | Cross post with: mathoverflow.net/q/467951/503363 | |
| Apr 1 at 21:31 | history | asked | Bastam Tajik | CC BY-SA 4.0 |