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

Mathematics – Group Theory

Scientific paper

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4 pages

Scientific paper

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the withdrawn paper arXiv:math/0607470.

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