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math.MG2023
Invariants for Gromov's pyramids and their applications
Syota Esaki, Daisuke Kazukawa, Ayato Mitsuishi
Pyramids introduced by Gromov are generalized objects of metric spaces with Borel probability measures. We study non-trivial pyramids, where non-trivial means that they are not rep…
math.DG2023★ 1 cited
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.…