![File:Wild3.png](http://upload.wikimedia.org/wikipedia/en/thumb/2/28/Wild3.png/799px-Wild3.png?20240709044057)
Original file (1,911 × 713 pixels, file size: 24 KB, MIME type: image/png)
Summary
editThis wild arc is topologically the same as the example given in the Hocking and Young book. It differs from Wild1.png because the overpass and underpass sequence is over/over/under/over/under/under (starting from the topmost point and following the curve to the right), whereas the sequence for Wild1.png is over/under/over/under/over/under. These curves look the same if you ignore the overpass/underpass sequence, but they are not topologically equivalent.
In the Hocking and Young book (page 177), the diagram they give is a left-right mirror image of the image Wild3.png which is given here. The reason for the mirror-reversal here is to facilitate comparison with File1.png, which matches the current example on the "Wild arc" wikipedia page.
Licensing
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The person who associated a work with this deed has dedicated the work to the public domain by waiving all of his or her rights to the work worldwide under copyright law, including all related and neighboring rights, to the extent allowed by law. You can copy, modify, distribute and perform the work, even for commercial purposes, all without asking permission. |
File history
Click on a date/time to view the file as it appeared at that time.
Date/Time | Thumbnail | Dimensions | User | Comment | |
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current | 04:40, 9 July 2024 | ![]() | 1,911 × 713 (24 KB) | Alan U. Kennington (talk | contribs) | The gaps are now narrower in the middle of the diagram, and the loops extend to limit points on the left and right. |
11:30, 8 July 2024 | ![]() | 1,761 × 709 (22 KB) | Alan U. Kennington (talk | contribs) | This wild arc is topologically the same as the example given in the Hocking and Young book. It differs from Wild1.png because the overpass and underpass sequence is over/over/under/over/under/under (starting from the topmost point and following the curve to the right), whereas the sequence for Wild1.png is over/under/over/under/over/under. These curves look the same if you ignore the overpass/underpass sequence, but they are not topologically equivalent. In the Hocking and Young book (page 1... |
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