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Reported uniformly weakly Dynkin extension
PDF p. 21: Remark 4.27
Statement
The article asserts that Corollary 4.26 generalizes [24, Theorem 1.60] to the “uniformly weakly Dynkin setting,” answering the question in [24, Remark 1.62]; it refers there for precise details.
Statement references
Remarks
This item records the authors’ comparison in Remark 4.27. The geodesic conclusion itself is supplied by Geodesics differ by codimension-two relations under that item’s stated hypotheses. The remark imports no separate theorem or definition from [24].
Reading limits
The expression “uniformly weakly Dynkin setting” is retained as the authors’ quoted terminology. Its exact definition, the hypotheses and conclusion of [24, Theorem 1.60], and the question in [24, Remark 1.62] have not been read. Consequently the claimed generalization and answer remain author-attributed; no equivalence with another Dynkin condition or additional extension is asserted here.
Source notes
On 13 November 2026, Wemyss’s publications page (https://www.maths.gla.ac.uk/~mwemyss/maths.html) linked the author-hosted draft https://www.maths.gla.ac.uk/~mwemyss/MainFile_for_web.pdf. The retrieved 158-page PDF was searched for “uniformly”, “weakly Dynkin”, “1.60” and “1.62”, without matches; Definition 1.19, printed p.9 (PDF p.33), was read and defines “strongly Dynkin”. This search and that definition do not identify the version cited by the article or establish its contents. No claim that the unavailable passages were read, or that the accessible draft is the latest version, is made. No original-article defect follows from this source-access limitation.
Depends on
Dependency tree · 2 levels
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Sources
- Normalisers of parabolic subgroups of Artin–Tits groups and Tits cone intersections · PDF p. 21, Remark 4.27; context: Corollary 4.26