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arXiv · 0909.2497

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

Peter A. Linnell
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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 This paper retrieves correct parts of the withdrawn paper arXiv:math/0607470.

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Peter A. Linnell. 2009-09-14. The space of left orders of a group is either finite or uncountable. https://doi.org/10.1112/blms%2Fbdq099

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