, Volume 8, Issue 4, pp 613-627

Covering radii and paving diameters of Alexandrov spaces

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Abstract

Covering radii and paving diameters are defined, and the borderline case when covk X = π/2, k = 1,…,n + 1 and pavk X = π/2, k = 1,…,n + 1 is studied (curv X ≥1, dim X = n).