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One-sided Heegaard splittings of RP^3

Loretta Bartolini·J Hyam Rubinstein
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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.

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Loretta Bartolini, J Hyam Rubinstein. 2009-04-23. One-sided Heegaard splittings of RP^3. https://doi.org/10.2140/agt.2006.6.1319

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