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math.GT2023
Combinatorial local convexity implies convexity in finite dimensional CAT(0) cubed complexes
Shunsuke Sakai, Makoto Sakuma
We give a proof to the following theorem, which is well-known among experts: A connected subcomplex of a finite dimensional CAT(0) cubed complex is convex if and only if Lk…
math.GT2023
Two-parabolic-generator subgroups of hyperbolic 3-manifold groups
Shunsuke Sakai, Makoto Sakuma
We give a detailed account of Agol's theorem and his proof concerning two-meridional-generator subgroups of hyperbolic 2-bridge link groups, which is included in the slide of his t…