Topology Atlas
Document # paca-26
Limit points of discrete sets in metric spaces
Abhijit Dasgupta
a note in Topology Explained
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We prove that in a metric space, the boundary of an
open set G is the set of limit points of some discrete subset of G.
We present a proof without using paracompactness of metric spaces.
Date: July 4, 2005
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by Topology Atlas.
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