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When completion of locally compact length space is locally compact?

sep 30 10 at 20:31 Alessandro Sisto 568●4●11

 
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What are the topological properties of the metric space retained (inherited) for its completion

sep 1 10 at 5:41 Elizabeth S. Q. Goodman 1,064●6●16

 
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Сomplete homogeneous space which is not locally compact

aug 3 10 at 14:21 Anweshi 4,226●2●25●56