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Pathologies in Aleksandrov spaces of curvature bounded above
Valerii N. BerestovskiiAbstract
We construct in the paper two examples of Aleksandrov spaces A with curvature bounded above, which possess a pathological properties. In the first we give a CAT(-1)-space A, which is homeomorphic to
- Received:
- 01.10.01
- Published:
- 01.10.01
- MSC Codes:
- 53C23, 57Mxx, 52Bxx
- Keywords:
- aleksandrov space eith curvature bounded above, hyperbolic boundary, topological dimension, hausdorff dimension, entropy dimension