One-sided Heegaard splittings of RP^3
Using basic properties of one-sided Heegaard splittings, a direct proof that geometrically compressible one-sided splittings of RP^3 are stabilised is given. The argument is modelled on that used by Waldhausen to show that two-sided splittings of S^3 are standard.
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| Veröffentlicht in: | arXiv.org 2009-04 |
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| creator | Bartolini, Loretta Rubinstein, J Hyam |
| description | Using basic properties of one-sided Heegaard splittings, a direct proof that geometrically compressible one-sided splittings of RP^3 are stabilised is given. The argument is modelled on that used by Waldhausen to show that two-sided splittings of S^3 are standard. |
| doi_str_mv | 10.48550/arxiv.0509007 |
| format | Article |
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| subjects | Compressibility |
| title | One-sided Heegaard splittings of RP^3 |
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