# topology

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• October 16th 2012, 08:00 AM
chath
topology
Let X be a normed space.Show that the function f:X to Real numbers defined by f(x)=norm x is continuous on X.
• October 21st 2012, 01:59 AM
girdav
Re: topology
Use $|\lVert x\rVert-\lVert y\rVert|\leq \lVert x-y\rVert$.