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Space of orders with finite Cantor–Bendixson rank

  • Waseet Kazmi ORCID logo EMAIL logo
Veröffentlicht/Copyright: 6. Dezember 2024

Abstract

The goal of this paper is to show the following result: for every integer n 2 , there is a countable orderable group whose 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.

  1. Communicated by: Rachel Skipper

References

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Received: 2024-06-17
Revised: 2024-10-21
Published Online: 2024-12-06
Published in Print: 2025-07-01

© 2024 Walter de Gruyter GmbH, Berlin/Boston

Heruntergeladen am 18.1.2026 von https://www.degruyterbrill.com/document/doi/10.1515/jgth-2024-0135/pdf?lang=de
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