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One-sided Heegaard splittings of RP^3

几何拓扑 2009-04-23 v4

摘要

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.

引用

@article{arxiv.math/0509007,
  title  = {One-sided Heegaard splittings of RP^3},
  author = {Loretta Bartolini and J Hyam Rubinstein},
  journal= {arXiv preprint arXiv:math/0509007},
  year   = {2009}
}

备注

This is the version published by Algebraic & Geometric Topology on 20 September 2006