Difference between revisions of "The set of all open balls of a metric space are able to generate a topology and are a basis for that topology"
From Maths
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Revision as of 07:21, 27 April 2015
For a metric space [ilmath](X,d)[/ilmath] there is a topology which the metric induces on [ilmath]x[/ilmath] that is the topology of all sets which are open in the metric sense.
TODO: Proof that open sets in the metric space have the topological properties
