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One-sided Heegaard splittings of \(\mathbb R{\text P}^3\). (English) Zbl 1133.57005

Summary: Using basic properties of one-sided Heegaard splittings, a direct proof that geometrically compressible one-sided splittings of \(\mathbb R{\text P}^3\) are stabilised is given. The argument is modelled on that used by Waldhausen to show that two-sided splittings of \(S^3\) are standard.

MSC:

57M27 Invariants of knots and \(3\)-manifolds (MSC2010)
57N10 Topology of general \(3\)-manifolds (MSC2010)
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References:

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