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Taken by Htasoff 17:00, 18 July 2011 (UTC). Rough diagram of how the connected sum of a Real Projective Plane and a Torus is homeomorphic to that of a Real Projective Plane and a Klein bottle. Since a Klein bottle is homeomorpic to the connected sum of two Projective Planes (not demonstrated), the connected sum of a Real Projective Plane and a Torus is homeomorphic to that of three Real Projective Planes.
I hope this will lead to an explanation of the claims made in the Why It's Interesting sections of the Real Projective Plane and Torus pages.
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| Date/Time | User | Dimensions | File size | Comment | |
|---|---|---|---|---|---|
| current | 13:00, 18 July 2011 | Htasoff (Talk | contribs) | 2,048×1,536 | 560 KB | Taken by ~~~~. Rough diagram of how the connected sum of a Real Projective Plane and a Torus is homeomorphic to that of a Real Projective Plane and a Klein bottle. Since a Klein bottle is homeomorpic to the connected sum of two Projective Planes (not dem |
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| Camera manufacturer | Canon |
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| Date and time of data generation | 10:53, 18 July 2011 |
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| File change date and time | 10:53, 18 July 2011 |
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| Date and time of digitizing | 10:53, 18 July 2011 |
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