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Topology on the spaces of orderings of groups

Adam S. Sikora
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Abstract

A natural topology on the space of left orderings of an arbitrary semi-group is introduced. It is proved that this space is compact and that for free abelian groups it is homeomorphic to the Cantor set. An application of this result is a new proof of the existence of universal Grobner bases.

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Adam S. Sikora. 2003-09-30. Topology on the spaces of orderings of groups. https://arxiv.org/abs/math/0111002

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