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searching for Alexandrov space 2 found (8 total)

Locally finite space (82 words) [view diff] exact match in snippet view article find links to article

consisting of finitely many elements. A locally finite space is an Alexandrov space. A T1 space is locally finite if and only if it is discrete. Nakaoka

Sharafutdinov's retraction (156 words) [view diff] exact match in snippet view article find links to article

essentially settling the soul conjecture. For open non-negatively curved Alexandrov space, Perelman also showed that there exists a Sharafutdinov retraction