Timeline for Decomposing the plane into intervals
Current License: CC BY-SA 2.5
10 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 26, 2010 at 5:05 | comment | added | Ross Millikan | You can rescue it by making a horizontal band, say of width 1. Make the top half of right-pointing half-open intervals and the bottom half of left-pointing ones. Then use your fan above and below. A similar construction will rescue Mark's. | |
| Oct 26, 2010 at 2:26 | comment | added | Jeremy West | From Mark's answer I see that you mean I am missing a direction. I wasn't aware that the direction was oriented in this manner; I assumed it meant unoriented direction, i.e., slope. In this case, I am even more interested to know the answer to both questions. | |
| Oct 26, 2010 at 2:16 | comment | added | Jeremy West | Which interval is that? This should hit everything. It might be good to clarify the question since two people have answered the original question. I assumed you were looking for any decomposition, including using closed or open intervals. | |
| Oct 26, 2010 at 2:10 | comment | added | Ross Millikan | As an answer to the original problem, I believe that misses an interval parallel to the x axis with the closed end to the right. But I was asking about filling the plane with closed or open intervals. | |
| Oct 26, 2010 at 2:05 | history | undeleted | Jeremy West | ||
| Oct 26, 2010 at 2:05 | history | edited | Jeremy West | CC BY-SA 2.5 |
deleted 73 characters in body
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| Oct 26, 2010 at 1:55 | history | deleted | Jeremy West | ||
| Oct 26, 2010 at 1:55 | history | undeleted | Jeremy West | ||
| Oct 26, 2010 at 1:55 | history | deleted | Jeremy West | ||
| Oct 26, 2010 at 1:53 | history | answered | Jeremy West | CC BY-SA 2.5 |