Soul neighborhood conjecture for Alexandrov manifolds
Let be a complete open Alexandrov space with nonnegative curvature, and suppose that is a topological manifold. Let be a soul of .
Soul neighborhood conjecture. The space is homeomorphic to a small neighborhood of that has the structure of an open disk bundle over .
This is described as the topological version of the preceding soul bundle conjecture. The supplied text does not state whether this formulation is resolved independently, so its database status remains open.
References
Primary source
Takao Yamaguchi, “Collapsing 4-manifolds under a lower curvature bound”, arXiv:1205.0323 (2024).
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