Are compact sets in a geodesic metric space necessarily bounded? What about, if the space is proper?
Compact sets in geodesic metric space
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$\begingroup$
geometry
metric-spaces
compactness
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0What do you mean "proper"? – 2012-08-23
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0@rschwieb usually a proper metric space or sometimes a heine-borel metric space is a metric space in which every closed ball is compact. – 2012-08-23
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0@JacobSchlather Thanks :) – 2012-08-23