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arXiv · 2305.07200

Space of orders with finite Cantor-Bendixson rank

Waseet Kazmi
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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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Waseet Kazmi. 2023-05-12. Space of orders with finite Cantor-Bendixson rank. https://doi.org/10.1515/jgth-2024-0135

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