One-sided Heegaard splittings of RP^3
Abstract
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.
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- September 2005
- DOI:
- arXiv:
- arXiv:math/0509007
- Bibcode:
- 2005math......9007B
- Keywords:
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- Mathematics - Geometric Topology;
- 57M27;
- 57N10
- E-Print:
- This is the version published by Algebraic &