Geodesic
One-sided Heegaard splittings of ℝP3
Bartolini, Loretta1 ; Rubinstein, J Hyam1
1Department of Mathematics and Statistics, University of Melbourne, Parkville VIC 3010, Australia
Algebraic and Geometric Topology, Tome 6 (2006) no. 3, pp. 1319-1330
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Using basic properties of one-sided Heegaard splittings, a direct proof that geometrically compressible one-sided splittings of ℝP3 are stabilised is given. The argument is modelled on that used by Waldhausen to show that two-sided splittings of S3 are standard.

DOI : 10.2140/agt.2006.6.1319
Keywords: one-sided Heegaard splitting, geometrically compressible

Bartolini, Loretta  1   ; Rubinstein, J Hyam  1

1 Department of Mathematics and Statistics, University of Melbourne, Parkville VIC 3010, Australia 
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Bartolini, Loretta; Rubinstein, J Hyam. One-sided Heegaard splittings of ℝP3. Algebraic and Geometric Topology, Tome 6 (2006) no. 3, pp. 1319-1330. doi: 10.2140/agt.2006.6.1319

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