Some lower bounds on Shelah rank in the free group

Javier de la Nuez González, Chloé Perin, Rizos Sklinos*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We give some lower bounds on the Shelah rank of varieties in the free group whose coordinate groups are hyperbolic towers.

Original languageAmerican English
Article number102794
JournalAnnals of Pure and Applied Logic
Issue number6
StatePublished - Jun 2020

Bibliographical note

Funding Information:
The research leading to these results has received funding from the European Research Council under the European Unions Seventh Framework Programme (FP7/2007-2013)/ERC Grant Agreements No. 291111 and No. 336983 and from the Basque Government Grant IT974-16.This research was partially supported by the Israel Science Foundation (grant No. 1480/16).

Publisher Copyright:
© 2020 Elsevier B.V.


  • Curve complex
  • Hyperbolic towers
  • Shelah rank


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