The space of left orders of a group is either finite or uncountable
classification
🧮 math.GR
keywords
groupleftarxivcorrectcountablydenoteeitherfinite
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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 This paper retrieves correct parts of the withdrawn paper arXiv:math/0607470.
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