activity
20122024
most citedThe coincidence of the homologies of integral currents and of integral singular chains, via cosheaves

6 citations · 23 across the 16 of their papers we have counts for

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Showing 2017Show all

2 papers · 1 filter

math.DG2017

Obtuse constants of Alexandrov spaces

Ayato Mitsuishi, Takao Yamaguchi

We introduce a new geometric invariant called the obtuse constant of spaces with curvature bounded below. We first find relations between this invariant and the normalized volume.…

math.MG2017

Lipschitz homotopy convergence of Alexandrov spaces

Ayato Mitsuishi, Takao Yamaguchi

We introduce the notion of good coverings of metric spaces, and prove that if a metric space admits a good covering, then it has the same locally Lipschitz homotopy type as the ner…