Timeline for Why is it so hard to prove Toeplitz' conjecture?
Current License: CC BY-SA 3.0
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| Aug 1, 2015 at 13:19 | history | edited | Francesco Polizzi | CC BY-SA 3.0 |
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| Jul 31, 2015 at 22:29 | vote | accept | N. G. M. | ||
| Jul 31, 2015 at 22:07 | comment | added | Francesco Polizzi | Concerning your second question, as explained in Wikipedia's article the problem is solved for curves with central symmetry (Nielsen and Wright, 1995). So it is true for every centrally symmetric fractal (for instance, for the Koch snowflake). | |
| Jul 31, 2015 at 22:04 | comment | added | Francesco Polizzi | I'm not an expert on the topic. However, regarding your first question, I would be very surprised if one could "detopologize" the problem and make it into a pure algebraic question; I presume that the answer is no. | |
| Jul 31, 2015 at 21:52 | comment | added | N. G. M. | Another: Has it been already proved for some specific fractal (of the famous ones, with more badly behaviour)? | |
| Jul 31, 2015 at 21:52 | comment | added | N. G. M. | Thank you for answering! I have an additional (informal) question to make here on comments section: Is it possible to transform such problems on general Jordan curves, so of an object with origin in visual geometry, to problems of pure abstract algebra? If possible for this specific problem, would this be more likely to help in the search for a solution or would make it more difficult? | |
| Jul 31, 2015 at 21:44 | history | edited | Francesco Polizzi | CC BY-SA 3.0 |
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| Jul 31, 2015 at 21:34 | history | edited | Francesco Polizzi | CC BY-SA 3.0 |
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| Jul 31, 2015 at 21:27 | history | answered | Francesco Polizzi | CC BY-SA 3.0 |