English

The space of left orders of a group is either finite or uncountable

Group Theory 2014-02-26 v1

Abstract

Let G be a group and let O_G denote the set of left orderings on G. Then O_G can be topologized in a natural way, and we shall study this topology to show that O_G can never be countably infinite. This paper retrieves correct parts of the withdrawn paper arXiv:math/0607470.

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Cite

@article{arxiv.0909.2497,
  title  = {The space of left orders of a group is either finite or uncountable},
  author = {Peter A. Linnell},
  journal= {arXiv preprint arXiv:0909.2497},
  year   = {2014}
}

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4 pages