How do I show that convergence is a topological property?
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Originally Posted by hairymclairy How do I show that convergence is a topological property? What are the exact properties of a homeomorphism?
Now think:"How are continuity and convergence related?"
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
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