Some lower bounds on Shelah rank in the free group

Javier de la Nuez González; Chloé Perin; Rizos Sklinos

doi:10.1016/j.apal.2020.102794

Some lower bounds on Shelah rank in the free group

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

^*Corresponding author for this work

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

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

Original language	American English
Article number	102794
Journal	Annals of Pure and Applied Logic
Volume	171
Issue number	6
DOIs	https://doi.org/10.1016/j.apal.2020.102794
State	Published - 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.

Keywords

Curve complex
Hyperbolic towers
Shelah rank

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10.1016/j.apal.2020.102794

Cite this

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title = "Some lower bounds on Shelah rank in the free group",

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

keywords = "Curve complex, Hyperbolic towers, Shelah rank",

author = "{de la Nuez Gonz{\'a}lez}, Javier and Chlo{\'e} Perin and Rizos Sklinos",

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: {\textcopyright} 2020 Elsevier B.V.",

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AU - Perin, Chloé

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Some lower bounds on Shelah rank in the free group

Abstract

Bibliographical note

Keywords

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