One-sided Heegaard splittings of RP^3

Algebr. Geom. Topol. 6 (2006) 1319-1330 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 stand...

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Hauptverfasser: Bartolini, Loretta, Rubinstein, J Hyam
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Sprache:eng
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Zusammenfassung:Algebr. Geom. Topol. 6 (2006) 1319-1330 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:10.48550/arxiv.math/0509007