usual topology and metric toplology

usual topology and metric toplology [closed]

can you give me an counter examples to metric topology is a usual topology but a usual topology need not be a metric topology?

flag	asked Jan 13 2012 at 12:26 diriba zewge 1

	"Usual topology" would depend on the context, but commonly refers to the topology on $\mathbb{R}^n$ induced by the Euclidean metric, in which case there would be no such counter-examples. – Mark Grant Jan 13 2012 at 12:29
	@diriba: This question is more appropriate for math.stackexchange, where I encourage you to ask it. – Jim Conant Jan 13 2012 at 12:37
	I would encourage the OP to think about it, instead of pestering people. – Igor Rivin Jan 13 2012 at 12:43
	@diriba: A better way of phrasing your question is this: show me an example of a topology that is not metrizable. – Mahdi Majidi-Zolbanin Jan 13 2012 at 17:29