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File:Wild3.png

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Original file(1,911 × 713 pixels, file size: 24 KB, MIME type: image/png)

Summary[edit]

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 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[edit]

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File history

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Date/TimeThumbnailDimensionsUserComment
current04:40, 9 July 2024Thumbnail for version as of 04:40, 9 July 20241,911 × 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 2024Thumbnail for version as of 11:30, 8 July 20241,761 × 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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