How do I show that convergence is a topological property?

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- May 4th 2012, 04:30 AMhairymclairyTopology question
How do I show that convergence is a topological property?

Thanks. - May 4th 2012, 05:23 AMPlatoRe: Topology question
- May 4th 2012, 05:26 AMSylvia104Re: Topology question
Let be a homeomorphism between topological spaces and If is a sequence in converging to show that the sequence in converges to

The sequence converges to iff for every open set containing there exists a natural number such that for all