activity
20132026
most citedContractible open manifolds which embed in no compact, locally connected and locally 1-connected metric space

4 citations · 7 across the 15 of their papers we have counts for

collaborators
Showing math.MGShow all

2 papers · 1 filter

math.MG2026

The disjoint disks property for Busemann -spaces

Tadashi Fujioka, Shijie Gu

We prove that every finite-dimensional Busemann \(G\)-space of dimension at least five has the disjoint disks property (DDP). For a sufficiently small metric sphere \(L=S(c,r)\), w…

math.MG2026

Busemann G-spaces with convex balls

Tadashi Fujioka, Shijie Gu

We prove that any Busemann G-space such that every sufficiently small metric ball is convex is a topological manifold. The key ingredient in the proof is Ivanov's Helly theorem. Th…