One-sided Heegaard splittings of RP^3
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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.
This is the version published by Algebraic & Geometric Topology on 20 September 2006
This is the version published by Algebraic & Geometric Topology on 20 September 2006