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
Revision as of 23:51, 16 February 2015 by Alec (Talk | contribs) (Created page with "For a metric space {{M|(X,d)}} there is a topology which the metric induces on {{M|x}} that is the topology of all sets which are Open...")
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
Topology
