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math.DG2024★ 1 cited
Collapsing three-dimensional Alexandrov spaces with boundary
Ayato Mitsuishi, Takao Yamaguchi
As a continuation of [MY], we determine the topologies of collapsing three-dimensional compact Alexandrov spaces with nonempty boundary.
math.DG2023
Lipschitz homotopy convergence of Alexandrov spaces II
Tadashi Fujioka, Ayato Mitsuishi, Takao Yamaguchi
We establish a quantitative version of the Lipschitz homotopy convergence introduced by Mitsuishi and Yamaguchi for a moduli space of compact Alexandrov spaces without collapsing.…