Timeline for A question about the dispersion points of connected metric spaces
Current License: CC BY-SA 3.0
20 events
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May 5, 2016 at 20:15 | vote | accept | Garabed Gulbenkian | ||
May 1, 2016 at 7:52 | comment | added | Forever Mozart | Just do some stretching. If we remove the top point of the KK fan we can stretch into a subset of $C\times [0,1]$. Then stretch it vertically into the tube. The important thing is that by connectedness of the KK fan, this tube cannot be "cut" horizontally by a clopen set. | |
May 1, 2016 at 7:50 | comment | added | მამუკა ჯიბლაძე | Sorry in this formulation I now don't understand what happens to the rational/irrational coordinate specifications present in the KK fan version | |
Apr 30, 2016 at 23:21 | comment | added | Forever Mozart | @მამუკაჯიბლაძე does my edited answer help? | |
Apr 30, 2016 at 23:21 | history | edited | Forever Mozart | CC BY-SA 3.0 |
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Apr 30, 2016 at 21:51 | comment | added | მამუკა ჯიბლაძე | I can't. Does this imply it does not exist? | |
Apr 30, 2016 at 21:12 | comment | added | Forever Mozart | @WłodzimierzHolsztyński thank you! I feel accomplished now. And yes, 7 was a bit arbitrary. | |
Apr 30, 2016 at 21:10 | comment | added | Włodzimierz Holsztyński | Nice! (Kasparov's favorite number is 13, yours must be 7). | |
Apr 30, 2016 at 20:37 | comment | added | Forever Mozart | Can you specify a limit point that is a problem? | |
Apr 30, 2016 at 20:33 | comment | added | Forever Mozart | Its similar to the topologist sine curve. If you remove the interval you have a bunch of loops getting closer and closer to each other, but there is no limit point. | |
Apr 30, 2016 at 20:30 | comment | added | მამუკა ჯიბლაძე | But there are infinitely many of them, and their points which were apart in KK get closer and closer to each other | |
Apr 30, 2016 at 20:11 | comment | added | Forever Mozart | The only convergent sequences will converge to $p$. The tube does not limit to any point of itself. Maybe it is not clear in the picture, but the loops will stop before they get to, say, the 9:00 position. | |
Apr 30, 2016 at 20:08 | comment | added | მამუკა ჯიბლაძე | Aren't you creating new converging sequences by weaving closer and closer to $p$? The points involved will become more and more closer to each other... | |
Apr 30, 2016 at 20:01 | comment | added | მამუკა ჯიბლაძე | Why removing $p$ gives $\simeq$ KK minus vertex? | |
Apr 30, 2016 at 19:56 | comment | added | მამუკა ჯიბლაძე | Be patient. As for me I like it very much but have not digested it yet. | |
Apr 30, 2016 at 19:29 | history | edited | Forever Mozart | CC BY-SA 3.0 |
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Apr 30, 2016 at 19:23 | history | edited | Forever Mozart | CC BY-SA 3.0 |
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Apr 30, 2016 at 19:17 | history | edited | Forever Mozart | CC BY-SA 3.0 |
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Apr 30, 2016 at 18:59 | review | First posts | |||
Apr 30, 2016 at 19:00 | |||||
Apr 30, 2016 at 18:56 | history | answered | Forever Mozart | CC BY-SA 3.0 |