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Space of orders with finite Cantor-Bendixson rank
Published 12 May 2023 in math.GR | (2305.07200v3)
Abstract: The goal of this paper is to show the following result: For every integer $n\geq 2$ there is a countable orderable group such that its space of orders is countable and has Cantor-Bendixson rank $n$. We show this by explicitly constructing a family of orderable groups with the desired properties.
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