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The Banach-Tarski paradox for flag manifolds

Geometric Topology 2011-06-03 v1

Abstract

The famous Banach-Tarski paradox claims that the three dimensional rotation group acts on the two dimensional sphere paradoxically. In this paper, we generalize their result to show that the classical group acts on the flag manifold paradoxically.

Keywords

Cite

@article{arxiv.1106.0432,
  title  = {The Banach-Tarski paradox for flag manifolds},
  author = {Yohei Komori and Yuriko Umemoto},
  journal= {arXiv preprint arXiv:1106.0432},
  year   = {2011}
}

Comments

8 pages, 3 figures