(Non‐)existence of Cannon–Thurston maps for Morse boundaries

(Non‐)existence of Cannon–Thurston maps for Morse boundaries

We show that the Morse boundary exhibits interesting examples of both the existence and non‐existence of Cannon–Thurston maps for normal subgroups, in contrast with the hyperbolic case.

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Veröffentlicht in:The Bulletin of the London Mathematical Society 2024-12
Hauptverfasser: Charney, Ruth, Cordes, Matthew, Goldsborough, Antoine, Sisto, Alessandro, Zbinden, Stefanie
Format: Artikel
Sprache:eng
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Zusammenfassung:We show that the Morse boundary exhibits interesting examples of both the existence and non‐existence of Cannon–Thurston maps for normal subgroups, in contrast with the hyperbolic case.
ISSN:0024-6093
1469-2120
DOI:10.1112/blms.13207