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math.DG2019★ 4 cited
A fibration theorem for collapsing sequences of Alexandrov spaces
Tadashi Fujioka
Suppose a sequence of Alexandrov spaces collapses to a space with only weak singularities. Yamaguchi constructed a map called an almost Lipschitz submersio…
math.DG2019★ 7 cited
Regular points of extremal subsets in Alexandrov spaces
Tadashi Fujioka
We define regular points of an extremal subset in an Alexandrov space and study their basic properties. We show that a neighborhood of a regular point in an extremal subset is almo…