3 citations · 4 across the 4 of their papers we have counts for
4 papers
Convergence of cones of metric measure spaces and its application to Cauchy distribution
Syota Esaki, Daisuke Kazukawa, Ayato Mitsuishi
We prove that the sequence of cones of metric measure spaces converges if the sequence of base spaces converges in Gromov's box, concentration, and weak topologies. As an applicati…
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.
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…
Orientability and fundamental classes of Alexandrov spaces with applications
Ayato Mitsuishi
In the present paper, we consider several valid notions of orientability of Alexandov spaces and prove that all such conditions are equivalent. Further, we give topological and geo…