Timeline for existence of a connected set with given connected projections.
Current License: CC BY-SA 2.5
6 events
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Mar 10, 2010 at 16:30 | history | edited | Anton Petrunin | CC BY-SA 2.5 |
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Mar 8, 2010 at 15:44 | comment | added | Anton Petrunin | A connected open set in the plane has to be path-connected (that is standard fact and it is easy to prove). So you may pass to $\epsilon$-neighborhood of your set (and take its closure if you want to keep it compact). | |
Mar 8, 2010 at 7:53 | comment | added | arun s | Nice answer!. Could you point me to a reference to the fact: "a connected set in the plane can be approximated by path connected set". | |
Mar 8, 2010 at 6:48 | vote | accept | arun s | ||
Mar 7, 2010 at 19:31 | history | edited | Anton Petrunin | CC BY-SA 2.5 |
added 44 characters in body
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Mar 7, 2010 at 19:11 | history | answered | Anton Petrunin | CC BY-SA 2.5 |