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Bulletin of the London Mathematical Society (1)

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TOPOLOGY ON THE SPACES OF ORDERINGS OF GROUPS
ADAM S. SIKORA
Journal:

Bulletin of the London Mathematical Society / Volume 36 / Issue 4 / July 2004

Published online by Cambridge University Press:

14 June 2004, pp. 519-526

Print publication:

July 2004
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A natural topology on the space of left orderings of an arbitrary semi-group is introduced here. This space is proved to be compact, and for free abelian groups it is shown to be homeomorphic to the Cantor set. An application of this result is a new proof of the existence of universal Gröbner bases.